90% of Xylia's amount was $3128 more than Oscar's amount. When Xylia spent 65% of her amount and Oscar spent 10% of his amount, they had the same amount of amount left. Find the amount that Oscar had at first.
|
90% of Xylia's amount |
Xylia's amount |
Oscar's amount |
Before |
162 u |
180 u |
70 u |
Change |
|
- 117 u (- 65%) |
- 7 u (- 10%) |
After |
|
63 u |
63 u |
Percentage of Xylia's amount left
= 100% - 65%
= 35%
Percentage of Oscar's amount left
= 100% - 10%
= 90%
35% =
35100 =
720 90% =
90100 =
910 The amounts of amount that Xylia and Oscar had left were the same.
Make the numerators the same.
720 of Xylia's amount =
910 of Oscar's amount
63180 of Xylia's amount =
6370 of Oscar's amount
Amount that Xylia had = 180 u
90% of the amount that Xylia had
= 180 u x 90%
= 180 u x
90100 = 162 u
Difference between 90% of Xylia's amount and Oscar's amount
= 162 u - 70 u
= 92 u
92 u = 3128
1 u = 3128 ÷ 92 = 34
Amount that Oscar had at first
= 70 u
= 70 x 34
= $2380
Answer(s): $2380