Lynn had $300 less than Charlie. Charlie spent 0.8 of his money and Lynn spent 0.3 of her money. In the end, Charlie and Lynn had the same amount of money left. Find the amount of money Lynn had at first.
| |
Lynn |
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 Lynn's amount left
= 1 -
310 =
710 The amount that Charlie and Lynn 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 Lynn's amount
735 of Charlie's amount =
710 of Lynn's amount
Amount that Lynn had less than Charlie
= 35 u - 10 u
= 25 u
25 u = 300
1 u = 300 ÷ 25 = 12
Amount that Lynn had at first
= 10 u
= 10 x 12
= $120
Answer(s): $120
