Question

Bessy has 6 times as much money as Bob, but

when each earns $6, Bessy will have 3 times as
much money as Bob. How much does each have before
and after earning the $6?

Answer 1

• Before: Bob, $4; Bessy, $24
• After: Bob, $10; Bessy, $30

Explanation:

Let x represent the amount of money Bob starts with. Then Bessy starts with 6x. After they have each earned $6, the relationship of their amounts is ...

(6x +6) = 3(x +6)

6x +6 = 3x +18

3x = 12

x = 4

Bob starts with $4; Bessy with $24.

After earning $6, Bob has $10; Bessy has $30.