Question

Jim has ten more dollars than Gail. Together they have at most twenty-seven dollars. A. Determine the possible amounts of money Gail could have. B. Sketch the solution on a number line.

Answer 1

gail could have up to 17 dollars. 

Answer 2

Answer: Gail could have from 0 to 8.5 and Jim could have 10 to 18.5

Explanation:

Gail = G

Jim = G + 10

J + G <= 27 ∴

G+10+G <=27

2G + 10 <= 27

2G <= 27 - 10

2G <= 17

G <= 17/2

G <= 8.5

As it is money, let's not say that they have negative money.

So, Gail has from 0 to 8.5. As Jim has 10 more than Gail, he has from 10 to 18.5. At the most : 8.5 + 18.5 = 27.