#### 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.
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.
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