30% of Hilda's amount was $4416 less than Glen's amount. When Hilda spent 45% of her amount and Glen spent 70% of his amount, they had the same amount of amount left. Find the amount that Glen had at first.
|
Hilda |
Glen |
Before |
60 u |
110 u |
Change |
- 27 u |
- 77 u |
After |
33 u |
33 u |
Percentage of Hilda's amount left
= 100% - 45%
= 55%
Percentage of Glen's amount left
= 100% - 70%
= 30%
55% =
55100 =
1120 30% =
30100 =
310 The amounts of amount that Hilda and Glen had left were the same. Make the numerators the same.
1120 of Hilda's amount =
310 of Glen's amount
3360 of Hilda's amount =
33110 of Glen's amount
Amount that Hilda had = 60 u
30% of the amount that Hilda had
= 30% x 60 u
=
30100 x 60 u
= 18 u
Difference between Glen's amount and 30% of Hilda's amount
= 110 u - 18 u
= 92 u
92 u = 4416
1 u = 4416 ÷ 92 = 48
Amount that Glen had at first
= 110 u
= 110 x 48
= $5280
Answer(s): $5280