Sally and Adam works a different job. Sally makes $5 per hour and Adam makes $4 per hour. They each

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Sally and Adam works a different job. Sally makes $5 per hour and Adam makes $4 per hour. They each earn the same amount per week but Adam works 2 more hours. How many hours a week does Adam work?

• Let s be the number of hours Sally works every week.
• Let a be the number of hours Adam works every week.
• We are given: a = s + 2

Sally's weekly earnings: 5s
Adam's weekly earnings: 4a

Since they both earn the same amount each week, we set Sally's earnings equal to Adam's earnings:
5s = 4a

But remember, we're given a = s + 2, so we substitute this into Adam's earnings:
5s = 4(s + 2)

Multiply through on the right side:
5s = 4s + 8 <-- multiplying 4(s + 2)

Typing this equation into the search engine, we get s = 8.

The problem asks for Adam's earnings (a). We plug s = 8 into Adam's weekly hours:
a = s + 2
a = 8 + 2
a = 10