Shannon had $340 less than Will. Will spent 0.6 of his money and Shannon spent 0.4 of her money. In the end, Will and Shannon had the same amount of money left. Find the amount of money Shannon had at first.
| |
Shannon |
Will |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Will's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Shannon's amount left
= 1 -
25 =
35 The amount that Will and Shannon each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Will's amount =
35 of Shannon's amount
615 of Will's amount =
610 of Shannon's amount
Amount that Shannon had less than Will
= 15 u - 10 u
= 5 u
5 u = 340
1 u = 340 ÷ 5 = 68
Amount that Shannon had at first
= 10 u
= 10 x 68
= $680
Answer(s): $680
