80% of Olivia's amount was $884 more than Henry's amount. When Olivia spent 65% of her amount and Henry spent 35% of his amount, they had the same amount of amount left. Find the amount that Henry had at first.
|
80% of Olivia's amount |
Olivia's amount |
Henry's amount |
Before |
208 u |
260 u |
140 u |
Change |
|
- 169 u (- 65%) |
- 49 u (- 35%) |
After |
|
91 u |
91 u |
Percentage of Olivia's amount left
= 100% - 65%
= 35%
Percentage of Henry's amount left
= 100% - 35%
= 65%
35% =
35100 =
720 65% =
65100 =
1320 The amounts of amount that Olivia and Henry had left were the same.
Make the numerators the same.
720 of Olivia's amount =
1320 of Henry's amount
91260 of Olivia's amount =
91140 of Henry's amount
Amount that Olivia had = 260 u
80% of the amount that Olivia had
= 260 u x 80%
= 260 u x
80100 = 208 u
Difference between 80% of Olivia's amount and Henry's amount
= 208 u - 140 u
= 68 u
68 u = 884
1 u = 884 ÷ 68 = 13
Amount that Henry had at first
= 140 u
= 140 x 13
= $1820
Answer(s): $1820