Olivia had six times as much money as Gillian. After Olivia spent $14 and Gillian spent $7, Olivia had $28 more than Gillian. How much did Olivia have in the end?
| |
Olivia |
Gillian |
| Before |
6 u |
1 u |
| Change |
- $14 |
- $7 |
| After |
6 u - $14 |
1 u - $7 |
Comparing Olivia
and Gillian
in the end |
$28 more |
|
If Gillian was given another $28, the amounts that Olivia and Gillian each had in the end would be the same.
6 u - 14 = 1 u - 7 + 28
6 u - 1 u = 14 + 21
5 u = 35
1 u = 35 ÷ 5 = 7
Amount that Olivia had in the end
= 6 u - 14
= 6 x 7 - 14
= 42 - 14
= $28
Answer(s): $28
