Question

Please help!

Rebecca has twice as much money as Rachel. If Rebecca gives Rachel $60, then the two of them will have the same amount of money. How much money did Rebecca have originally?

A.
B.
C.
D.
E.​

Answer 1

Rebecca originally had 240 dollars.

Explanation:

Let's set B as Rebecca's money and C as Rachel's.

Rebecca has twice as much money as Rachel

B = 2C

If Rebecca gives Rachel $60, then the two of them will have the same amount of money

B - $60 = C + $60

let's combine the 2 by subtracting the second from the first

B - (B - $60) = 2C - (C + $60)

$60 = C - $60

$120 = C

so Rachel had 120 dollars.

Rebecca had twice as much, so 240 dollars.

If Rebecca gives $60 to Rachel, they have $180 each. Everything checks out.