Emily had $475 less than Ian. Ian spent 0.8 of his money and Emily spent 0.3 of her money. In the end, Ian and Emily had the same amount of money left. Find the amount of money Emily had at first.
| |
Emily |
Ian |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Ian's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Emily's amount left
= 1 -
310 =
710 The amount that Ian and Emily each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Ian's amount =
710 of Emily's amount
735 of Ian's amount =
710 of Emily's amount
Amount that Emily had less than Ian
= 35 u - 10 u
= 25 u
25 u = 475
1 u = 475 ÷ 25 = 19
Amount that Emily had at first
= 10 u
= 10 x 19
= $190
Answer(s): $190
