Rachel had four times as much money as Betty. After Rachel spent $14 and Betty spent $5, Rachel had $33 more than Betty. How much did Rachel have in the end?
| |
Rachel |
Betty |
| Before |
4 u |
1 u |
| Change |
- $14 |
- $5 |
| After |
4 u - $14 |
1 u - $5 |
Comparing Rachel
and Betty
in the end |
$33 more |
|
If Betty was given another $33, the amounts that Rachel and Betty each had in the end would be the same.
4 u - 14 = 1 u - 5 + 33
4 u - 1 u = 14 + 28
3 u = 42
1 u = 42 ÷ 3 = 14
Amount that Rachel had in the end
= 4 u - 14
= 4 x 14 - 14
= 56 - 14
= $42
Answer(s): $42
