90% of Yen's amount was $4140 more than Dylan's amount. When Yen spent 65% of her amount and Dylan spent 10% of his amount, they had the same amount of amount left. Find the amount that Dylan had at first.
|
90% of Yen's amount |
Yen's amount |
Dylan's amount |
Before |
162 u |
180 u |
70 u |
Change |
|
- 117 u (- 65%) |
- 7 u (- 10%) |
After |
|
63 u |
63 u |
Percentage of Yen's amount left
= 100% - 65%
= 35%
Percentage of Dylan's amount left
= 100% - 10%
= 90%
35% =
35100 =
720 90% =
90100 =
910 The amounts of amount that Yen and Dylan had left were the same.
Make the numerators the same.
720 of Yen's amount =
910 of Dylan's amount
63180 of Yen's amount =
6370 of Dylan's amount
Amount that Yen had = 180 u
90% of the amount that Yen had
= 180 u x 90%
= 180 u x
90100 = 162 u
Difference between 90% of Yen's amount and Dylan's amount
= 162 u - 70 u
= 92 u
92 u = 4140
1 u = 4140 ÷ 92 = 45
Amount that Dylan had at first
= 70 u
= 70 x 45
= $3150
Answer(s): $3150