Julie had $425 less than Jeremy. Jeremy spent 0.8 of his money and Julie spent 0.3 of her money. In the end, Jeremy and Julie had the same amount of money left. Find the amount of money Julie had at first.
| |
Julie |
Jeremy |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Jeremy's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Julie's amount left
= 1 -
310 =
710 The amount that Jeremy and Julie each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Jeremy's amount =
710 of Julie's amount
735 of Jeremy's amount =
710 of Julie's amount
Amount that Julie had less than Jeremy
= 35 u - 10 u
= 25 u
25 u = 425
1 u = 425 ÷ 25 = 17
Amount that Julie had at first
= 10 u
= 10 x 17
= $170
Answer(s): $170
