Name: ____________________________
Ratios and Proportions – Mixed Ratio Problems
1
2
Last week Sanjay spent $9 to bowl 2 games. This
c he spent $36 to bowl 8 games. Sanjay owns
week
his bowling ball and shoes, so he only has to pay
for each game that he bowls. If each of these
bowling games cost the same amount of money,
what is the constant of proportionality between the
money spent and the number of games played?
A 1.5
C 2.0
B 4.5
D 9.0
B
4
5
496 miles
1 hour
1 mile
62 hours
C
D
1 hour
496 miles
8
9
If it takes Luey 15 weeks to make 3 birdhouses,
c long will it take him to make 11 birdhouses?
how
A 45 weeks
B 75 weeks
C 55 weeks
D 165 weeks
10 for $20
C
5 for $9
D
12 for $25
What equation is shown by this graph?
c
B
2
x
y  2x
C
2x  2 y  0
D
2
x
y
The ordered pairs
,
c
, and
A
(2, 30)
C
(1, 15)
B
(15, 1)
D
(0, 0)
A class is attended by 18 girls and 24 boys. Write
thec ratio of girls to boys in the class as a fraction
in lowest terms.
A
18
24
C
24
18
B
3
4
D
4
3
Arianna rode her bicycle at a constant speed. In
1c
1 hours she traveled 36 miles. How can she find
2
her unit rate, in miles per hour?
Which of these is a lower unit price than 8 for $15?
c
A 3 for $7
B
Sheet # 02 - 10
appear on a graph showing the total distance
bicycled after a certain number of hours. Express
the unit rate as an ordered pair.
62 miles
1 hour
A
6
7
The Conti family drove 496 miles in 8 hours.
c
Which
is the unit rate in fraction form?
A
3
Date: _________
PreAlgebra
10
A
1
Subtract 1 from 36
2
B
1
Divide 1 by 36
2
C
Multiply 36 by 1
D
Divide 36 by 1
1
2
1
2
The graph shows a proportional relationship
c
between
x and y.
y
Which of the following ratios forms a proportion
c 3
with 7?
18
24
A
C
35
56
18
15
B
D
49
42
What number represents the unit rate for this
relationship?
A ½
C 1
B 2
D 2½
11
The Class of 2020 is selling water at sports events
to raise money for their club. The table shows the
relationship between the number of bottles bought
and the total cost.
BOTTLED WATER SALES
Number of
Cost
Bottles
(dollars)
1
1.50
2
3.00
3
4.50
4
6.00
5
7.50
14
Blake is volunteering at his local library’s book
sale to raise money for charity. There are 270
books that need to be labeled with prices. In 5
minutes, Blake had labeled 18 books. At this rate,
what was the total number of minutes Blake will
need to label all 270 books?
Show your work.
If C  kN , where C is the cost of N bottles and k
is the constant of proportionality, what is the
value of k?
Answer ____________minutes
Answer ____________
All 270 books Blake labeled were priced at $1.50
per book. By 3:00 pm, all but 90 of those books
had been sold. What was the total amount of
money collected from the sale of these books?
Show your work.
In October, 150 bottles of water were purchased.
What was the total cost?
Show your work.
Answer $ ____________
12
Mantone states the table shows a proportional
relationship between x and y because there is a
PATTERN of increasing by 3.
2
3
4
5
x
6
9
12
15
y
Correct Mantone’s explanation.
Create a table where a pattern of increasing by 3 in
NOT proportional.
x
Answer $ ____________
15
A pine tree measured 30
3
feet tall. Over the next
4
1
6 years, it grew to a height of 42 feet. During
4
1
the 6 years, what was the average yearly
4
growth rate of the height of the tree?
Show your work.
y
13
Determine whether or not the graph below is
proportional. Justify your response.
Answer ____________feet per year