Rachel had $310 less than Peter. Peter spent 0.6 of his money and Rachel spent 0.2 of her money. In the end, Peter and Rachel had the same amount of money left. Find the amount of money Rachel had at first.
| |
Rachel |
Peter |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of Peter's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Rachel's amount left
= 1 -
15 =
45 The amount that Peter and Rachel each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of Peter's amount =
45 of Rachel's amount
410 of Peter's amount =
45 of Rachel's amount
Amount that Rachel had less than Peter
= 10 u - 5 u
= 5 u
5 u = 310
1 u = 310 ÷ 5 = 62
Amount that Rachel had at first
= 5 u
= 5 x 62
= $310
Answer(s): $310
