Emily had $375 less than Luis. Luis spent 0.7 of his money and Emily spent 0.2 of her money. In the end, Luis and Emily had the same amount of money left. Find the amount of money Emily had at first.
|
Emily |
Luis |
Difference |
Before |
15 u |
40 u |
25 u |
Change |
- 3 u |
- 4 u |
|
After |
12 u |
12 u |
|
0.7 =
710 Fraction of Luis's amount left
= 1 -
710 =
310 0.2 =
15 Fraction of Emily's amount left
= 1 -
15 =
45 The amount that Luis and Emily each had in the end is the same. Make the numerators the same. LCM of 3 and 4 is 12.
310 of Luis's amount =
45 of Emily's amount
1240 of Luis's amount =
1215 of Emily's amount
Amount that Emily had less than Luis
= 40 u - 15 u
= 25 u
25 u = 375
1 u = 375 ÷ 25 = 15
Amount that Emily had at first
= 15 u
= 15 x 15
= $225
Answer(s): $225