Debra, Tom, and Rafael have a total of $100 in their wallets. Rafael 3 has times what Tom has. Debra has 10 more than Tom. How much does each have?

Answer 1

Let's say that Debra has d dollars, Tom has t dollars, and Rafael has r dollars.

1. We know that d + t + r = 100
2. If Rafael has 3 times what Tom has, we can say that r = 3 * t
3. Similarly, if Debra has $10 more than Tom, we can say that d = t + 10

Let's try substituting equations 2 and 3 into equation 1:

1. t + 10 + t + 3 * t = 100
2. Which simplifies to 5 * t + 10 = 100

We can now solve for how much money Tom has:

1. 5 * t + 10 = 100
2. Subtracting 10 from both sides, 5 * t = 90
3. Dividing both sides by 5, t = 18

Tom has $18.

Rafael has 3 times what time has: 3 * $18 = $54

Debra has $10 more than Tom: $18 + $10 = $28

We can check our work by adding $18 + $54 + $28 = $100

Answer 2

Debra, Tom, and Rafael have a total of $100 in their wallets. Rafael 3 has times what Tom has. Debra has 10 more than Tom. How much does each have?

1. Debra (D) , Tom (T) and Rafael (R) have a total of $100.
2. That translates to: D + T + R = 100
3. (R) has 3 times what (T) has.
4. That translates to: R = 3(T)
5. (D) has 10 more than (T)
6. That translates to: D = T + 10

Substitute in the original equation What R equals in the second equation and what D equals in the third equation and solve for T

1. (T + 10) + T + 3T = 100
2. 5T + 10 = 100
3. 5T = 90
4. T = 18, then solve for D and for R using the second and third equation above!

I hope this helps you!