Rachel had $420 less than Sean. Sean spent 0.8 of his money and Rachel spent 0.4 of her money. In the end, Sean and Rachel had the same amount of money left. Find the amount of money Rachel had at first.
| |
Rachel |
Sean |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Sean's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Rachel's amount left
= 1 -
25 =
35 The amount that Sean and Rachel each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Sean's amount =
35 of Rachel's amount
315 of Sean's amount =
35 of Rachel's amount
Amount that Rachel had less than Sean
= 15 u - 5 u
= 10 u
10 u = 420
1 u = 420 ÷ 10 = 42
Amount that Rachel had at first
= 5 u
= 5 x 42
= $210
Answer(s): $210
