Raeann had thrice as much money as Anna. After Raeann spent $12 and Anna spent $10, Raeann had $20 more than Anna. How much did Raeann have in the end?
|
Raeann |
Anna |
Before |
3 u |
1 u |
Change |
- $12 |
- $10 |
After |
3 u - $12 |
1 u - $10 |
Comparing Raeann and Anna in the end |
$20 more |
|
If Anna was given another $20, the amounts that Raeann and Anna each had in the end would be the same.
3 u - 12 = 1 u - 10 + 20
3 u - 1 u = 12 + 10
2 u = 22
1 u = 22 ÷ 2 = 11
Amount that Raeann had in the end
= 3 u - 12
= 3 x 11 - 12
= 33 - 12
= $21
Answer(s): $21