70% of Penelope's amount was $473 more than Lee's amount. When Penelope spent 55% of her amount and Lee spent 20% of his amount, they had the same amount of amount left. Find the amount that Lee had at first.
|
70% of Penelope's amount |
Penelope's amount |
Lee's amount |
Before |
56 u |
80 u |
45 u |
Change |
|
- 44 u (- 55%) |
- 9 u (- 20%) |
After |
|
36 u |
36 u |
Percentage of Penelope's amount left
= 100% - 55%
= 45%
Percentage of Lee's amount left
= 100% - 20%
= 80%
45% =
45100 =
920 80% =
80100 =
45 The amounts of amount that Penelope and Lee had left were the same.
Make the numerators the same.
920 of Penelope's amount =
45 of Lee's amount
3680 of Penelope's amount =
3645 of Lee's amount
Amount that Penelope had = 80 u
70% of the amount that Penelope had
= 80 u x 70%
= 80 u x
70100 = 56 u
Difference between 70% of Penelope's amount and Lee's amount
= 56 u - 45 u
= 11 u
11 u = 473
1 u = 473 ÷ 11 = 43
Amount that Lee had at first
= 45 u
= 45 x 43
= $1935
Answer(s): $1935