Solving Multi-Step Problems KEY

Unit 11 – Making Connections
Grade 4
Day 3
Solving Multi-Step Problems KEY
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Write each question as a statement.
Discuss and agree on your plan with your partner.
Estimate a solution.
Carry out your plan with your partner.
Record your solution process.
Evaluate your solution for reasonableness.
1) Jackie can frame 10 pictures for every 2
hours she works. Each frame costs her
customers $9. If she works 8 hours on
Friday and 9 hours on Saturday, and sells
all of the frames she makes, how much
money will she have made?
Question as a Statement:
Jackie will make ____ dollars on all of the
frames she makes on Friday and Saturday.
Estimate: Answers may vary.
Actual: $765
Solution Process:
Solution process may vary.
What I need to
find
Total hours
Process
Estimate
8 + 9 = 17
Pictures per hour
10 ÷ 2 = 5
10 + 10 =
20
10 ÷ 2 = 5
Pictures made in
total hours
worked
Amount made for
selling all pictures
17 x 5 = 85
20 x 5 =
100
85 x 9 = 765
100 x 10 =
1000
Answer as a
statement
Jackie will make $765 dollars
on all of the frames she
makes on Friday and
Saturday.
Is your solution reasonable? Answers may
vary. Yes, because my actual solution was
close to my estimate.
2) Rosemary bought 3 pairs of pants for $15
each, a shirt for $17, and a purse for $34. If
Rosemary pays with 5 $20 bills, how much
change will she receive?
Solution Process:
Solution process may vary.
What I need to
find
Cost of pants
Process
Estimate
3 x 15 = 45
Cost of pants,
shirt, and purse
Amount she had
45 + 17 + 34 =
96
5 x 20 = 100
3 x 15 =
45
45 + 20 +
30 = 95
5 x 20 =
100
Actual: $4
Amount of change
100 – 96 = 4
Is your solution reasonable? Answers may
vary. Yes, because my actual solution was
close to my estimate.
Answer as a
statement
Rosemary will receive 4
dollars in change after
making her purchase.
Question as a Statement:
Rosemary will receive ____ dollars in
change after making her purchase.
Estimate: Answers may vary.
100 – 95 =
5
Unit 11 – Making Connections
Grade 4
Day 3
Solving Multi-Step Problems KEY
3) A recipe for cookies makes 18 cookies.
Janie and her mother made the recipe 36
times at home. Janie sold 375 of the
cookies at the bake sale and took 205
cookies to school. How many cookies did
Janie leave at home?
Question as a Statement:
Janie left ____ cookies at home.
Estimate: Answers may vary.
Solution Process:
Solution process may vary.
What I need to
find
Total number of
cookies made
Cookies left after
bake sale
Cookies left after
giving to school
Process
Estimate
18 x 36 = 648
20 x 35 =
750
750 – 400
= 350
350 – 200
= 150
Answer as a
statement
Janie left 68 cookies at
home.
648 – 375 = 273
273 – 205 = 68
Actual: 68 cookies
Is your solution reasonable? Answers may
vary. Yes, because my actual solution was
close to my estimate.
4) An elevator can carry 1,750 pounds. A man
weighing 273 pounds is delivering 79
cartons that weigh 13 pounds each. How
much more weight can the elevator hold if
another man who weighs 167 pounds also
steps in the elevator?
Question as a Statement:
The elevator can hold ____ more pounds.
Estimate: Answers may vary.
Actual: 283 pounds
Is your solution reasonable? Answers may
vary. Yes, because my actual solution was
close to my estimate.
Solution Process:
Solution process may vary.
What I need to
find
Total weight of
cartons
Total weight of
cartons and both
men
Difference
between the
weight the
elevator can hold
and the
men/cartons
Answer as a
statement
Process
Estimate
79 x 13 = 1,027
80 x 15 =
1,200
1,200 +
300 + 150
= 1,650
1,750 –
1,650 =
100
1,027 + 273 +
167 = 1,467
1,750 – 1,467 =
283
The elevator can hold 283
more pounds.