Question

Raina, Frank, and Tom have a total of $132 in their wallets. Frank has 4 times what Tom has. Raina has $6 more than Tom. How much does each have?

Answer 1

Tom has $21, Frank has $84, and Raina has $27.

Step-by-step explanation:

Let's solve this problem step by step.

1. Let's assume Tom has x dollars.
2. Frank has 4 times what Tom has, so Frank has 4x dollars.
3. Raina has $6 more than Tom, so Raina has x + 6 dollars.
4. The total amount of money they have is $132, so we can write the equation: x + 4x + x + 6 = 132.
5. Combining like terms, we have 6x + 6 = 132.
6. Subtracting 6 from both sides, we have 6x = 126.
7. Dividing both sides by 6, we have x = 21.

So, Tom has $21, Frank has 4 times that amount, which is $84, and Raina has $21 + $6 = $27.