Emma had $475 less than Albert. Albert spent 0.6 of his money and Emma spent 0.2 of her money. In the end, Albert and Emma had the same amount of money left. Find the amount of money Emma had at first.
| |
Emma |
Albert |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of Albert's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Emma's amount left
= 1 -
15 =
45 The amount that Albert and Emma each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of Albert's amount =
45 of Emma's amount
410 of Albert's amount =
45 of Emma's amount
Amount that Emma had less than Albert
= 10 u - 5 u
= 5 u
5 u = 475
1 u = 475 ÷ 5 = 95
Amount that Emma had at first
= 5 u
= 5 x 95
= $475
Answer(s): $475
