Olivia had thrice as much money as Irene. After Olivia spent $13 and Irene spent $5, Olivia had $26 more than Irene. How much did Olivia have in the end?
| |
Olivia |
Irene |
| Before |
3 u |
1 u |
| Change |
- $13 |
- $5 |
| After |
3 u - $13 |
1 u - $5 |
Comparing Olivia
and Irene
in the end |
$26 more |
|
If Irene was given another $26, the amounts that Olivia and Irene each had in the end would be the same.
3 u - 13 = 1 u - 5 + 26
3 u - 1 u = 13 + 21
2 u = 34
1 u = 34 ÷ 2 = 17
Amount that Olivia had in the end
= 3 u - 13
= 3 x 17 - 13
= 51 - 13
= $38
Answer(s): $38
