Betty had $475 less than Will. Will spent 0.7 of his money and Betty spent 0.2 of her money. In the end, Will and Betty had the same amount of money left. Find the amount of money Betty had at first.
| |
Betty |
Will |
Difference |
| Before |
15 u |
40 u |
25 u |
| Change |
- 3 u |
- 4 u |
|
| After |
12 u |
12 u |
|
0.7 =
710 Fraction of Will's amount left
= 1 -
710 =
310 0.2 =
15 Fraction of Betty's amount left
= 1 -
15 =
45 The amount that Will and Betty each had in the end is the same. Make the numerators the same. LCM of 3 and 4 is 12.
310 of Will's amount =
45 of Betty's amount
1240 of Will's amount =
1215 of Betty's amount
Amount that Betty had less than Will
= 40 u - 15 u
= 25 u
25 u = 475
1 u = 475 ÷ 25 = 19
Amount that Betty had at first
= 15 u
= 15 x 19
= $285
Answer(s): $285
