90% of Risa's amount was $3102 more than Rael's amount. When Risa spent 65% of her amount and Rael spent 35% of his amount, they had the same amount of amount left. Find the amount that Rael had at first.
|
90% of Risa's amount |
Risa's amount |
Rael's amount |
Before |
234 u |
260 u |
140 u |
Change |
|
- 169 u (- 65%) |
- 49 u (- 35%) |
After |
|
91 u |
91 u |
Percentage of Risa's amount left
= 100% - 65%
= 35%
Percentage of Rael's amount left
= 100% - 35%
= 65%
35% =
35100 =
720 65% =
65100 =
1320 The amounts of amount that Risa and Rael had left were the same.
Make the numerators the same.
720 of Risa's amount =
1320 of Rael's amount
91260 of Risa's amount =
91140 of Rael's amount
Amount that Risa had = 260 u
90% of the amount that Risa had
= 260 u x 90%
= 260 u x
90100 = 234 u
Difference between 90% of Risa's amount and Rael's amount
= 234 u - 140 u
= 94 u
94 u = 3102
1 u = 3102 ÷ 94 = 33
Amount that Rael had at first
= 140 u
= 140 x 33
= $4620
Answer(s): $4620