Rachel had $500 less than Luis. Luis spent 0.8 of his money and Rachel spent 0.3 of her money. In the end, Luis and Rachel had the same amount of money left. Find the amount of money Rachel had at first.
| |
Rachel |
Luis |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Luis's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Rachel's amount left
= 1 -
310 =
710 The amount that Luis and Rachel each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Luis's amount =
710 of Rachel's amount
735 of Luis's amount =
710 of Rachel's amount
Amount that Rachel had less than Luis
= 35 u - 10 u
= 25 u
25 u = 500
1 u = 500 ÷ 25 = 20
Amount that Rachel had at first
= 10 u
= 10 x 20
= $200
Answer(s): $200
