Emily had $300 less than Warren. Warren spent 0.8 of his money and Emily spent 0.2 of her money. In the end, Warren and Emily had the same amount of money left. Find the amount of money Emily had at first.
| |
Emily |
Warren |
Difference |
| Before |
5 u |
20 u |
15 u |
| Change |
- 1 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.8 =
45 Fraction of Warren's amount left
= 1 -
45 =
15 0.2 =
15 Fraction of Emily's amount left
= 1 -
15 =
45 The amount that Warren and Emily each had in the end is the same. Make the numerators the same. LCM of 1 and 4 is 4.
15 of Warren's amount =
45 of Emily's amount
420 of Warren's amount =
45 of Emily's amount
Amount that Emily had less than Warren
= 20 u - 5 u
= 15 u
15 u = 300
1 u = 300 ÷ 15 = 20
Amount that Emily had at first
= 5 u
= 5 x 20
= $100
Answer(s): $100
