Question

Bessy has 6 times as much money as Bob, but when each earns $6, Bessy will have 4 times as much money as Bob. How much does each have before and after earning the $6?

Answer 1

Before they earn $6: After they earn $6:

Bessy: $54 Bob: $9 Bessy: $60 Bob: $15

Explanation:

Let's assume that Bob has x amount of money. According to the problem, Bessy has 6 times as much money as Bob, so Bessy has 6x the amount of money.

After each of them earns $6, Bob's total money will be x + $6, and Bessy's total money will be 6x + $6.

According to the problem, when each earns $6, Bessy will have 4 times as much money as Bob. Mathematically, we can express this as:

6x + $6 = 4 * (x + $6)

6x + $6 = 4x + $24

2x + $6 = $24

2x = $18

x = $9

So, Bob initially has $9, and Bessy initially has 6 times that amount, which is 6 * $9 = $54.

After each of them earns $6, Bob will have $9 + $6 = $15, and Bessy will have $54 + $6 = $60.