70% of Gillian's amount was $24 more than Oscar's amount. When Gillian spent 55% of her amount and Oscar spent 35% of his amount, they had the same amount of amount left. Find the amount that Oscar had at first.
|
70% of Gillian's amount |
Gillian's amount |
Oscar's amount |
Before |
182 u |
260 u |
180 u |
Change |
|
- 143 u (- 55%) |
- 63 u (- 35%) |
After |
|
117 u |
117 u |
Percentage of Gillian's amount left
= 100% - 55%
= 45%
Percentage of Oscar's amount left
= 100% - 35%
= 65%
45% =
45100 =
920 65% =
65100 =
1320 The amounts of amount that Gillian and Oscar had left were the same.
Make the numerators the same.
920 of Gillian's amount =
1320 of Oscar's amount
117260 of Gillian's amount =
117180 of Oscar's amount
Amount that Gillian had = 260 u
70% of the amount that Gillian had
= 260 u x 70%
= 260 u x
70100 = 182 u
Difference between 70% of Gillian's amount and Oscar's amount
= 182 u - 180 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Amount that Oscar had at first
= 180 u
= 180 x 12
= $2160
Answer(s): $2160