90% of Hilda's amount was $3290 more than Albert's amount. When Hilda spent 65% of her amount and Albert spent 35% of his amount, they had the same amount of amount left. Find the amount that Albert had at first.
|
90% of Hilda's amount |
Hilda's amount |
Albert's amount |
Before |
234 u |
260 u |
140 u |
Change |
|
- 169 u (- 65%) |
- 49 u (- 35%) |
After |
|
91 u |
91 u |
Percentage of Hilda's amount left
= 100% - 65%
= 35%
Percentage of Albert's amount left
= 100% - 35%
= 65%
35% =
35100 =
720 65% =
65100 =
1320 The amounts of amount that Hilda and Albert had left were the same.
Make the numerators the same.
720 of Hilda's amount =
1320 of Albert's amount
91260 of Hilda's amount =
91140 of Albert's amount
Amount that Hilda had = 260 u
90% of the amount that Hilda had
= 260 u x 90%
= 260 u x
90100 = 234 u
Difference between 90% of Hilda's amount and Albert's amount
= 234 u - 140 u
= 94 u
94 u = 3290
1 u = 3290 ÷ 94 = 35
Amount that Albert had at first
= 140 u
= 140 x 35
= $4900
Answer(s): $4900