20% of Dana's amount was $4214 less than Andy's amount. When Dana spent 45% of her amount and Andy spent 70% of his amount, they had the same amount of amount left. Find the amount that Andy had at first.
|
Dana |
Andy |
Before |
60 u |
110 u |
Change |
- 27 u |
- 77 u |
After |
33 u |
33 u |
Percentage of Dana's amount left
= 100% - 45%
= 55%
Percentage of Andy's amount left
= 100% - 70%
= 30%
55% =
55100 =
1120 30% =
30100 =
310 The amounts of amount that Dana and Andy had left were the same. Make the numerators the same.
1120 of Dana's amount =
310 of Andy's amount
3360 of Dana's amount =
33110 of Andy's amount
Amount that Dana had = 60 u
20% of the amount that Dana had
= 20% x 60 u
=
20100 x 60 u
= 12 u
Difference between Andy's amount and 20% of Dana's amount
= 110 u - 12 u
= 98 u
98 u = 4214
1 u = 4214 ÷ 98 = 43
Amount that Andy had at first
= 110 u
= 110 x 43
= $4730
Answer(s): $4730