Esther had twice as much money as Sarah. After Esther spent $11 and Sarah spent $8, Esther had $34 more than Sarah. How much did Esther have in the end?
| |
Esther |
Sarah |
| Before |
2 u |
1 u |
| Change |
- $11 |
- $8 |
| After |
2 u - $11 |
1 u - $8 |
Comparing Esther
and Sarah
in the end |
$34 more |
|
If Sarah was given another $34, the amounts that Esther and Sarah each had in the end would be the same.
2 u - 11 = 1 u - 8 + 34
2 u - 1 u = 11 + 26
1 u = 37
1 u = 37 ÷ 1 = 37
Amount that Esther had in the end
= 2 u - 11
= 2 x 37 - 11
= 74 - 11
= $63
Answer(s): $63
