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