Pamela had $420 less than Perry. Perry spent 0.6 of his money and Pamela spent 0.2 of her money. In the end, Perry and Pamela had the same amount of money left. Find the amount of money Pamela had at first.
| |
Pamela |
Perry |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of Perry's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Pamela's amount left
= 1 -
15 =
45 The amount that Perry and Pamela each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of Perry's amount =
45 of Pamela's amount
410 of Perry's amount =
45 of Pamela's amount
Amount that Pamela had less than Perry
= 10 u - 5 u
= 5 u
5 u = 420
1 u = 420 ÷ 5 = 84
Amount that Pamela had at first
= 5 u
= 5 x 84
= $420
Answer(s): $420
