Kathy had $320 less than Glen. Glen spent 0.8 of his money and Kathy spent 0.4 of her money. In the end, Glen and Kathy had the same amount of money left. Find the amount of money Kathy had at first.
| |
Kathy |
Glen |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Glen's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Kathy's amount left
= 1 -
25 =
35 The amount that Glen and Kathy each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Glen's amount =
35 of Kathy's amount
315 of Glen's amount =
35 of Kathy's amount
Amount that Kathy had less than Glen
= 15 u - 5 u
= 10 u
10 u = 320
1 u = 320 ÷ 10 = 32
Amount that Kathy had at first
= 5 u
= 5 x 32
= $160
Answer(s): $160
