Question

Amy, Hong, and Charlie have a total of $106 in their wallets. Amy has $6 more than Hong. Charlie has 2 times what Hong has. How much does each have?

Answer 1

Hong has $25, Amy has $31, and Charlie has $50.

Step-by-step explanation:

Let's represent the amount of money Hong has as x. Since Amy has $6 more than Hong, we can represent the amount of money Amy has as (x + 6). Additionally, since Charlie has 2 times what Hong has, we can represent the amount of money Charlie has as 2x. We know that the total amount of money they have is $106. So, we can set up the following equation: x + (x + 6) + 2x = 106. Simplifying the equation, we have 4x + 6 = 106. Subtracting 6 from both sides, we get 4x = 100. Dividing both sides by 4, we find that x = 25.

So, Hong has $25. Amy has $31 (since x + 6 = 25 + 6 = 31). And Charlie has 2 times what Hong has, which is $50 (since 2x = 2 * 25 = 50).