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

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

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

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

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

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

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

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

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

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

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