Shannon had thrice as much money as Hilda. After Shannon spent $10 and Hilda spent $6, Shannon had $24 more than Hilda. How much did Shannon have in the end?
| |
Shannon |
Hilda |
| Before |
3 u |
1 u |
| Change |
- $10 |
- $6 |
| After |
3 u - $10 |
1 u - $6 |
Comparing Shannon
and Hilda
in the end |
$24 more |
|
If Hilda was given another $24, the amounts that Shannon and Hilda each had in the end would be the same.
3 u - 10 = 1 u - 6 + 24
3 u - 1 u = 10 + 18
2 u = 28
1 u = 28 ÷ 2 = 14
Amount that Shannon had in the end
= 3 u - 10
= 3 x 14 - 10
= 42 - 10
= $32
Answer(s): $32
