Ivory had thrice as much money as Rachel. After Ivory spent $15 and Rachel spent $9, Ivory had $32 more than Rachel. How much did Ivory have in the end?
| |
Ivory |
Rachel |
| Before |
3 u |
1 u |
| Change |
- $15 |
- $9 |
| After |
3 u - $15 |
1 u - $9 |
Comparing Ivory
and Rachel
in the end |
$32 more |
|
If Rachel was given another $32, the amounts that Ivory and Rachel each had in the end would be the same.
3 u - 15 = 1 u - 9 + 32
3 u - 1 u = 15 + 23
2 u = 38
1 u = 38 ÷ 2 = 19
Amount that Ivory had in the end
= 3 u - 15
= 3 x 19 - 15
= 57 - 15
= $42
Answer(s): $42
