Wendy had $390 less than Andy. Andy spent 0.8 of his money and Wendy spent 0.4 of her money. In the end, Andy and Wendy had the same amount of money left. Find the amount of money Wendy had at first.
| |
Wendy |
Andy |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Andy's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Wendy's amount left
= 1 -
25 =
35 The amount that Andy and Wendy each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Andy's amount =
35 of Wendy's amount
315 of Andy's amount =
35 of Wendy's amount
Amount that Wendy had less than Andy
= 15 u - 5 u
= 10 u
10 u = 390
1 u = 390 ÷ 10 = 39
Amount that Wendy had at first
= 5 u
= 5 x 39
= $195
Answer(s): $195
