Application of Multi-Step Problems-Gr 4-Solved Examples

Solved Examples and Worksheet for Application of Multi-Step Problems

Q1Nathan has read 48 pages of a 240-page book. He reads 24 pages each day. How many days will he take to finish the book?

A. 8
B. 7
C. 10
D. 9

Solutions

Step: 1

Let p be the number of days required to finish reading the book.

Step: 2

48 + 24 × p = 240

[Write an equation.]

Step: 3

48 - 48 + 24p = 240 - 48

[Subtract 48 from both sides.]

Step: 4

24p = 192

[Combine like terms.]

Step: 5

p = 19224

[Divide both sides by 24.]

Step: 6

p = 8

[Simplify.]

Step: 7

So, Nathan takes 8 days to finish reading the whole book.

Correct Answer is : 8

Q2The product of the ages of two children is 56. If the age of one of them is 7 years, then find the age of the other.

A. 8 years
B. 9 years
C. 7 years
D. none of the above

Solutions

Step: 1

Let x be the age of the second child.

Step: 2

The product of the ages is 56, when the age of one child is 7 years.

Step: 3

x × 7 = 56

[Write the equation.]

Step: 4

x = 567

[Divide both sides by 7.]

Step: 5

x = 8

[Divide.]

Step: 6

So, the age of the second child is 8 years.

Correct Answer is : 8 years

Q3Valerie has $68. She buys 4 shirts that cost $13 each. How much is she left with after buying the shirts?
A. $66
B. $72
C. $16
D. $70

Solutions

Step: 1

Let x be the money she is left with.

Step: 2

Money left = money Valerie has - (cost of one shirt × number of shirts)

[Write an algebraic expression.]

Step: 3

x = $68 - (13 × 4)

[Substitute.]

Step: 4

x = 68 - 52

[Multiply.]

Step: 5

x = 16

[Subtract 52 from 68.]

Step: 6

So, Valerie is left with $16.

Correct Answer is : $16

Q4Paula bought 50 balloons. Of that 15 were yellow balloons, 23 red colored balloons and the rest were green. How many green colored balloons did she buy?
A. 35
B. 9
C. 12
D. 27

Solutions

Step: 1

Number of balloons Paula bought = 50

Step: 2

Number of yellow colored balloons = 15

Step: 3

Number of red colored balloons = 23

Step: 4

Number of green balloons = Total number of balloons - number of yellow colored balloons - number of red colored balloons

Step: 5

= 50 - 15 - 23 = 12

Step: 6

So, the number of green colored balloons she bought = 12.

Correct Answer is : 12

Q5The temperature at 7:00 in the morning was 58°F. By afternoon it had gone up by 5°F, and the night temperature fell by 2°F. What was the night temperature?

A. 63°F
B. 51°F
C. 61°F
D. 71°F

Solutions

Step: 1

Night temperature = Temperature in the morning + temperature gone up by afternoon - temperature fell at night

Step: 2

= 58°F + 5°F - 2°F = 61°F

Step: 3

So, the night temperatrue was 61°F.

Correct Answer is : 61°F

Q6Anna had $326. She earned $158 and spent $180. How much does she have now?
A. $314
B. $338
C. $348
D. $304

Solutions

Step: 1

Money Anna has now = money initially she had + money she earned - money she spent

Step: 2

= 326 + 158 - 180 = 304

Step: 3

So, the money Anna has now is $304.

Correct Answer is : $304

Q7Tim had $57 in his wallet. He bought a pizza for $25 and bought hotdogs with the remaining amount. Each hotdog was priced at $4. How many hotdogs did Tim buy?
A. 6
B. 4
C. 12
D. 8

Solutions

Step: 1

Let x be the number of hotdogs that Tim bought.

Step: 2

57 = 25 + 4x

[Write an equation.]

Step: 3

57 - 25 = 25 + 4x - 25

[Subtract 25 from each side.]

Step: 4

32 = 4x

[Combine like terms.]

Step: 5

324= 4x4

[Divide each side by 4.]

Step: 6

x = 8

[Simplify.]

Step: 7

Tim bought 8 hotdogs.

Correct Answer is : 8

Q8Laura bought a pack of soaps worth $39 and picked some loose soaps worth $7 each. How many loose soaps did she pick, if she spent $102 in all?
A. - 8
B. 8
C. - 9
D. 9

Solutions

Step: 1

Let x be the number of loose soaps Laura picked.

Step: 2

102 = 39 + 7x

[Write an equation.]

Step: 3

102- 39 = 39 + 7x - 39

[Subtract 39 from each side.]

Step: 4

63 = 7x

[Combine like terms.]

Step: 5

637 = 7x7

[Divide each side by 7.]

Step: 6

x = 9

[Simplify.]

Step: 7

Laura picked 9 loose soaps.

Correct Answer is : 9

Q9Michael had $72 with him, he made $18 by delivering pizzas. How much does he have now?

A. $54
B. $90
C. $80

Solutions

Step: 1

Amount Michael has = 72 + 18

Step: 2

72 = 70 + 2
18 = 10 + 8

[Break the numbers into tens and ones.]

Step: 3

(70 + 10) + (2 + 8)

[Add the tens and ones separately.]

Step: 4

= 80 + 10 = 90

[Add the two sums.]

Step: 5

So, Michael has $90.

Correct Answer is : $90

Q10John's uncle gave him a check as gift. John spent the amount on his favorite paintings. He bought 3 for $32 each and 5 for $24 each and he was left with $34 . What was the total amount that he got from his uncle?
A. $252
B. $182
C. $216
D. $250

Solutions

Step: 1

Let the amount John got from his uncle be $x.

Step: 2

Total cost of paintings = (3 × 32) + ( 5 × 24) = 96 + 120 = $216

Step: 3

x - 216 = 34

[Amount left with John.]

Step: 4

x = 216 + 34 = 250

Step: 5

Total amount John got from his uncle = $250.

Correct Answer is : $250

Solved Examples and Worksheet for Application of Multi-Step Problems

Related Worksheet

Related Topic

HighSchool Math