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Score: 10
1.
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Joe Sullivan and Hugh Kee sell cars for a Ford dealer. Over the past year, they sold 477 cars. Joe sells 8
times as many cars as Hugh.
How many cars did each sell?
Hugh sold
Joe sold
n/r
n/r
Cars
Cars
ebook & resources
Worksheet
Word Problem 5-13
Learning Objective: 05-02 (2) Complete blueprint aids
to solve word problems; check the solutions
Joe Sullivan and Hugh Kee sell cars for a Ford dealer. Over the past year, they sold 477 cars. Joe sells 8
times as many cars as Hugh.
How many cars did each sell?
Hugh sold
Joe sold
53 Cars
424 Cars
Explanation:
Unknown(s) Variable(s) Relationship
Hugh
C
C
Joe
8C + 8C
477 cars
8C +
C =
9C =
477
477
9
9
=
C =
C =
8C =
53
53 (Hugh)
424 (Joe)
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On a flight from Boston to San Diego, American reduced its Internet price by $190.06. The sale price was
$421.05.
What was the original price? (Omit the "$" sign in your response.)
Original price
$ n/r
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Worksheet
Word Problem 5-23
Learning Objective: 05-02 (2) Complete blueprint aids
to solve word problems; check the solutions
On a flight from Boston to San Diego, American reduced its Internet price by $190.06. The sale price was
$421.05.
What was the original price? (Omit the "$" sign in your response.)
Original price
$
611.11
Explanation:
Unknown(s)
Original price
P
P
− $190.06
+ 190.06
Variable(s)
Relationship
P
P − $190.06 = Sale price
Sale price = $421.05
= $ 421.05
+ 190.06
= $ 611.11
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Jill, an employee at Old Navy, budgets
year is $9,400.
of her yearly salary for clothing. Jill’s total clothing bill for the
What is her yearly salary? (Omit the "$" sign in your response.)
Yearly salary
$ n/r
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Worksheet
Word Problem 5-24
Jill, an employee at Old Navy, budgets
year is $9,400.
Learning Objective: 05-02 (2) Complete blueprint aids
to solve word problems; check the solutions
of her yearly salary for clothing. Jill’s total clothing bill for the
What is her yearly salary? (Omit the "$" sign in your response.)
Yearly salary
$
47,000
Explanation:
Unknown(s)
Yearly salary
Variable(s)
S
Relationship
Clothing = $9,400
S
= $ 9,400
S
5
= $ 9,400(5)
5
S
= $ 47,000
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Bill's Roast Beef sells 6 times as many sandwiches as Pete's Deli. The difference between their sales is
350 sandwiches.
How many sandwiches did each sell?
Pete's sold
n/r
Bill's sold
n/r
sandwiches
sandwiches
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Worksheet
Word Problem 5-25
Learning Objective: 05-02 (2) Complete blueprint aids
to solve word problems; check the solutions
Bill's Roast Beef sells 6 times as many sandwiches as Pete's Deli. The difference between their sales is
350 sandwiches.
How many sandwiches did each sell?
Pete's sold
70
sandwiches
420 sandwiches
Bill's sold
Explanation:
Unknown(s) Variable(s) Relationship
Bill’s
6S
6S
Pete’s
S − S
350
sandwiches
6S −
S
5S
=
350
350
=
5
S
6S
=
=
5
70 (Pete's)
420 (Bill’s)
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5.
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A local Computer City sells batteries ($3) and small boxes of pens ($4). In August, total sales were $960.
Customers bought 4 times as many batteries as boxes of pens.
How many of each did Computer City sell?
Boxes of Pens
n/r
Computer City sold
Batteries
n/r
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Worksheet
Word Problem 5-27
Learning Objective: 05-02 (2) Complete blueprint aids
to solve word problems; check the solutions
A local Computer City sells batteries ($3) and small boxes of pens ($4). In August, total sales were $960.
Customers bought 4 times as many batteries as boxes of pens.
How many of each did Computer City sell?
Boxes of Pens
60
Computer City sold
Batteries
240
Explanation:
Unknown
(s)
Batteries
Pens
Variable(s) Price Relationship
4P
P
$3
4
12P
+ 4P
$ 960 total sales
4P + 12P =
16P
=
16 =
P =
4P =
960
960
16
60 boxes of pens
240 batteries
Check
60($4) + 240($3) = $960
$240 + $720 = $960
$960 = $960
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6.
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Staples sells boxes of pens ($16) and rubber bands ($10). Leona ordered a total of 36 cartons for $510.
How many boxes of each did Leona order?
Leona ordered
Leona ordered
boxes of pens
boxes of rubber bands
n/r
n/r
ebook & resources
Worksheet
Word Problem 5-28
Learning Objective: 05-02 (2) Complete blueprint aids
to solve word problems; check the solutions
Staples sells boxes of pens ($16) and rubber bands ($10). Leona ordered a total of 36 cartons for $510.
How many boxes of each did Leona order?
Leona ordered
Leona ordered
25 boxes of pens
11 boxes of rubber bands
Explanation:
Unknown(s)
Pens
Rubber bands
Variable(s) Price
P $ 16
36 − P
10
Relationship
16P
+ 10(36 − P)
Total = $510
16P + 10(36 − P)
16P + 360 − 10P
6P + 360
− 360
=
=
=
510
510
510
− 360
=
6P
150
=
6
6
P = 25 boxes of pens
36 − P = 11 boxes of rubber bands
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Jim Murray and Phyllis Lowe received a total of $61,000 from a deceased relative's estate. They decided
to put $26,000 in a trust for their nephew and divide the remainder. Phyllis received
Jim received
of the remainder;
.
How much did Jim and Phyllis receive? (Omit the "$" sign in your response.)
Amount
$ n/r
$ n/r
Jim
Phyllis
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Worksheet
Word Problem 5-36
Learning Objective: 05-02 (2) Complete blueprint aids
to solve word problems; check the solutions
Jim Murray and Phyllis Lowe received a total of $61,000 from a deceased relative's estate. They decided
to put $26,000 in a trust for their nephew and divide the remainder. Phyllis received
Jim received
of the remainder;
.
How much did Jim and Phyllis receive? (Omit the "$" sign in your response.)
Amount
$
21,000
$
14,000
Jim
Phyllis
Explanation:
Unknown(s)
Jim
Variable(s) Relationship
3T
3T
Phyllis
3T + 2T = $
5T
$
=
5
3T = $
2T = $
2T
+
2T
$
35,000
35,000
35,000
5
21,000 (Jim)
14,000 (Phyllis)
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8.
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Solve the unknown from the following equation:
23(P − 28) = 368
P
n/r
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Worksheet
Drill Problem 5-9
Learning Objective: 05-01 (2) List the five rules and
the mechanical steps used to solve for the unknown in
seven situations; know how to check the answers
Drill Problem 5-21
Learning Objective: 05-01 (2) List the five rules and
the mechanical steps used to solve for the unknown in
seven situations; know how to check the answers
Solve the unknown from the following equation:
23(P − 28) = 368
P
44
Explanation:
23P
− 644 =
+ 644
368
644
+
23P
1012
=
23
23
P =
9.
44
0 out of
10.00
points
Solve the unknown from the following equation:
14Y − 20 = 106
Y
n/r
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Worksheet
Solve the unknown from the following equation:
14Y − 20 = 106
Y
9
Explanation:
14Y − 20
+ 20
=
+
14Y
106
20
126
=
14
14
Y
=
9
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10.
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points
Solve the unknown from the following equation:
A + 124 − 32 = 278
A
186
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Worksheet
Drill Problem 5-29
Learning Objective: 05-01 (2) List the five rules and
the mechanical steps used to solve for the unknown in
seven situations; know how to check the answers
Solve the unknown from the following equation:
A + 124 − 32 = 278
A
186
Explanation:
11.
A + 92
− 92
=
278
− 92
A
=
186
0 out of
10.00
points
Solve for the portion. (Round to the nearest hundredth as needed.)
19.9% of 67
n/r
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Worksheet
Drill Problem 6-28
Learning Objective: 06-02 (2) Solve for one unknown
of the portion formula when the other two key
elements are given
Solve for the portion. (Round to the nearest hundredth as needed.)
19.9% of 67
13.33 ± 0.01
Explanation:
P=R×B
0.199 × 67 = 13.33
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Solve for the base. (Round to nearest hundredth as needed.)
90 is .09% of
n/r
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Worksheet
Drill Problem 6-35
Learning Objective: 06-02 (2) Solve for one unknown
of the portion formula when the other two key
elements are given
Solve for the base. (Round to nearest hundredth as needed.)
90 is .09% of
100,000
Explanation:
13.
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10.00
points
9 is what percent of 81? (Round to the nearest hundredth percent as needed. Omit the "%" sign in
your response.)
Percent
n/r
%
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Worksheet
Drill Problem 6-48
Learning Objective: 06-02 (3) Calculate the rate of
percent increases and decreases
9 is what percent of 81? (Round to the nearest hundredth percent as needed. Omit the "%" sign in
your response.)
Percent
11.11 ± .01 %
Explanation:
9
= 11.11%
81
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14.
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At a local Dunkin’ Donuts, a survey showed that out of 1,290 customers eating lunch, 330 ordered coffee
with their meal. What percent of customers did not order coffee? (Round to the nearest hundredth
percent as needed. Omit the "%" sign in your response.)
Percent of customers
n/r
%
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Worksheet
Word Problem 6-53
Learning Objective: 06-02 (2) Solve for one unknown
of the portion formula when the other two key
elements are given
At a local Dunkin’ Donuts, a survey showed that out of 1,290 customers eating lunch, 330 ordered coffee
with their meal. What percent of customers did not order coffee? (Round to the nearest hundredth
percent as needed. Omit the "%" sign in your response.)
Percent of customers
74.42 ± 0.01 %
Explanation:
Portion = 1,290 – 330 = 960
960
= 74.42%
1,290
15.
0 out of
10.00
points
Wally Chin, the owner of an ExxonMobil station, bought a used Ford pickup truck, paying $2,500 as a
down payment. He still owes 85% of the selling price. What was the selling price of the truck? (Round
your answer to nearest hundredth percent. Omit the "$" sign in your response.)
The selling price of the truck was
$n/r
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Worksheet
Word Problem 6-55
Learning Objective: 06-02 (2) Solve for one unknown
of the portion formula when the other two key
elements are given
Wally Chin, the owner of an ExxonMobil station, bought a used Ford pickup truck, paying $2,500 as a
down payment. He still owes 85% of the selling price. What was the selling price of the truck? (Round
your answer to nearest hundredth percent. Omit the "$" sign in your response.)
The selling price of the truck was
$
16,667 ± 0.01
Explanation:
2,500
0.15
= 16,667
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16.
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points
Assume that in the year 2010, 769,000 people attended the Christmas Eve celebration at Walt Disney
World. In 2011, attendance for the Christmas Eve celebration is expected to increase by 45%. What is
the total number of people expected at Walt Disney World for this event?
Total number of people
n/r
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Worksheet
Word Problem 6-58
Learning Objective: 06-02 (2) Solve for one unknown
of the portion formula when the other two key
elements are given
Assume that in the year 2010, 769,000 people attended the Christmas Eve celebration at Walt Disney
World. In 2011, attendance for the Christmas Eve celebration is expected to increase by 45%. What is
the total number of people expected at Walt Disney World for this event?
Total number of people
1,115,050
Explanation:
Old year = 100%.
Current year = 100% + 45% = 145%
769,000 × 1.45 = 1,115,050 people.
17.
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10.00
points
Massachusetts has a 6.2% sales tax. Timothy bought a Toro lawn mower and paid $21 sales tax. What
was the cost of the lawn mower before the tax? (Round your answer to 2 decimal places. Omit the
"$" sign in your response.)
Cost before tax
$ n/r
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Worksheet
Word Problem 6-72
Learning Objective: 06-02 (2) Solve for one unknown
of the portion formula when the other two key
elements are given
Massachusetts has a 6.2% sales tax. Timothy bought a Toro lawn mower and paid $21 sales tax. What
was the cost of the lawn mower before the tax? (Round your answer to 2 decimal places. Omit the
"$" sign in your response.)
Cost before tax
$
338.71 ± 0.01
Explanation:
$21
= 338.71
$0.062
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Due to increased mailing costs, the new rate will cost publishers $46 million; this is 10.5% more than
they paid the previous year. How much did it cost publishers last year? (Round to the nearest
hundreds. Omit the "$" sign in your response.)
Cost publishers last year
$ n/r
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Worksheet
Word Problem 6-76
Learning Objective: 06-02 (2) Solve for one unknown
of the portion formula when the other two key
elements are given
Due to increased mailing costs, the new rate will cost publishers $46 million; this is 10.5% more than
they paid the previous year. How much did it cost publishers last year? (Round to the nearest
hundreds. Omit the "$" sign in your response.)
Cost publishers last year
$
41,629,000
Explanation:
Portion
= Base
Rate
$46,000,000
= $41,628,959
1.105
= $41,629,000
19.
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10.00
points
Saab Corporation raised the base price of its popular 900 series by $1,110 to $33,300. What was the
percent increase? (Round to the nearest tenth percent. Omit the "%" sign in your response.)
Increased percent
n/r
%
ebook & resources
Worksheet
Word Problem 6-85
Learning Objective: 06-02 (3) Calculate the rate of
percent increases and decreases
Saab Corporation raised the base price of its popular 900 series by $1,110 to $33,300. What was the
percent increase? (Round to the nearest tenth percent. Omit the "%" sign in your response.)
Increased percent
3.4 ± 0.05 %
Explanation:
$33,300 – $1,110 = $32,190
$1,110
= 3.4
$32,190
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Jay Miller sold his ski house at Attitash Mountain in New Hampshire for $297,000. This sale represented
a loss of 11% off the original price. What was the original price Jay paid for the ski house? (Round your
answer to the nearest dollar. Omit the "$" sign in your response.)
Original price
$ n/r
ebook & resources
Worksheet
Word Problem 6-89
Learning Objective: 06-02 (2) Solve for one unknown
of the portion formula when the other two key
elements are given
Jay Miller sold his ski house at Attitash Mountain in New Hampshire for $297,000. This sale represented
a loss of 11% off the original price. What was the original price Jay paid for the ski house? (Round your
answer to the nearest dollar. Omit the "$" sign in your response.)
Original price
$
333,708 ± 1
Explanation:
$297,000
= 333,708
$0.89
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