Here's the step-by-step solution to each of the 5 one-step integer word problems:
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Problem 1:
> Jamie paid the rent well past the due date for the months of April, May and June. As a result, he had been charged a total of $75 as late fee. How much did he pay as late fee per month?
✔ Solution:
Jamie was charged a
total of $75 in late fees for
3 months (April, May, June).
To find the late fee
per month, divide the total by the number of months:
$75 ÷ 3 = $25
✔️
Answer: $25 per month
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Problem 2:
> The kindergarten section of Lakeland Valley has 12 classrooms. If each classroom can accommodate 15 kids, how many kids can the kindergarten section accommodate in all?
✔ Solution:
Number of classrooms = 12
Kids per classroom = 15
Total kids = 12 × 15
Let’s compute:
12 × 15 = (10 + 2) × 15 = 10×15 + 2×15 = 150 + 30 =
180
✔️
Answer: 180 kids
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Problem 3:
> Juan sells raffle tickets at a charity event for $6 each. How many tickets does he have to sell to make $144?
✔ Solution:
Each ticket = $6
Total goal = $144
Number of tickets = Total money ÷ Price per ticket
$144 ÷ $6 = 24
✔️
Answer: 24 tickets
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Problem 4:
> Melanie works as a nanny and is paid $14 per hour. If she puts in 40 hours of work in 7 days, how much does she earn in a week?
✔ Solution:
Hourly rate = $14
Hours worked = 40
Total earnings = 14 × 40
Compute:
14 × 40 = (10 + 4) × 40 = 10×40 + 4×40 = 400 + 160 =
560
✔️
Answer: $560
*(Note: The “7 days” is extra info — since we’re given total hours worked, we don’t need to calculate per day.)*
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Problem 5:
> The non-fiction section of the Montgomery County Library has 17 racks. If each rack holds 128 books, what is the total collection of non-fiction books in the library?
✔ Solution:
Number of racks = 17
Books per rack = 128
Total books = 17 × 128
Let’s compute:
Break down 128:
17 × 128 = 17 × (100 + 20 + 8)
= (17×100) + (17×20) + (17×8)
= 1700 + 340 + 136
= 1700 + 340 = 2040; 2040 + 136 =
2176
✔️
Answer: 2,176 books
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✔ Final Answers Summary:
1.
$25 per month
2.
180 kids
3.
24 tickets
4.
$560
5.
2,176 books
These are all
one-step equations using multiplication or division with integers — perfect for reinforcing basic operations through real-world contexts!
Parent Tip: Review the logic above to help your child master the concept of solving one step equations word problems worksheet.
