Emma had $470 less than Glen. Glen spent 0.8 of his money and Emma spent 0.4 of her money. In the end, Glen and Emma had the same amount of money left. Find the amount of money Emma had at first.
| |
Emma |
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 Emma's amount left
= 1 -
25 =
35 The amount that Glen and Emma 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 Emma's amount
315 of Glen's amount =
35 of Emma's amount
Amount that Emma had less than Glen
= 15 u - 5 u
= 10 u
10 u = 470
1 u = 470 ÷ 10 = 47
Amount that Emma had at first
= 5 u
= 5 x 47
= $235
Answer(s): $235
