Let’s solve each problem step by step.
---
Problem 1: Two people earn $28,000 together. One earns $2,000 more than the other. What is the smaller income?
Let the smaller income be
x.
Then the larger income is
x + 2000.
Together:
x + (x + 2000) = 28000
→ 2x + 2000 = 28000
→ 2x = 26000
→ x = 13000
✔ So the smaller income is
$13,000.
*(Note: The image shows a wrong method — subtracting 2000 from total and dividing by 2000? That doesn’t make sense. Our method above is correct.)*
---
Problem 2: Jerry walked a dog from 6:40 AM to 7:30 AM. He was paid $6 per hour. How much did he earn?
First, find how long he worked:
From 6:40 to 7:30 is
50 minutes.
He gets $6 for every 60 minutes.
So, set up a proportion:
If 60 minutes → $6
Then 50 minutes → ?
Use cross-multiplication:
(50 × 6) ÷ 60 = 300 ÷ 60 =
$5
✔ So Jerry earned
$5.
*(The image has some messy math but ends with x = $5 — which is correct. We just cleaned it up.)*
---
Problem 3: A woman wants an office twice the area of her current one. Current office perimeter is 88 feet. It’s square. What’s the area of the new office?
Current office is square → all sides equal.
Perimeter = 88 ft → each side = 88 ÷ 4 =
22 ft
Area of current office = 22 × 22 =
484 sq ft
New office is twice that area → 484 × 2 =
968 sq ft
✔ So the new office area is
968 square feet.
*(The image stops at 22×22=484 — that’s only the current area. We need to double it for the new office.)*
---
Final Answer:
Problem 1: $13,000
Problem 2: $5
Problem 3: 968 square feet
Parent Tip: Review the logic above to help your child master the concept of arithmetic reasoning practice worksheet.
