Linda had five times as much money as Cathy. After Linda spent $14 and Cathy spent $5, Linda had $27 more than Cathy. How much did Linda have in the end?
| |
Linda |
Cathy |
| Before |
5 u |
1 u |
| Change |
- $14 |
- $5 |
| After |
5 u - $14 |
1 u - $5 |
Comparing Linda
and Cathy
in the end |
$27 more |
|
If Cathy was given another $27, the amounts that Linda and Cathy each had in the end would be the same.
5 u - 14 = 1 u - 5 + 27
5 u - 1 u = 14 + 22
4 u = 36
1 u = 36 ÷ 4 = 9
Amount that Linda had in the end
= 5 u - 14
= 5 x 9 - 14
= 45 - 14
= $31
Answer(s): $31
