Emma and Reggie had a total of $100. After Emma spent
13 of her money and Reggie spent $10, the ratio of Emma's money to Kennenth's money became 1 : 6. How much money had Reggie at first?
| |
Emma |
Reggie |
Total |
| Before |
3 u |
12 u + $10 |
$100 |
| Change |
- 1 u |
- $10 |
|
| After |
2 u |
|
|
Comparing Emma and
Reggie in the end |
1x2 =
2 u |
6x2 =
12 u |
|
The amount that Emma had in the end is repeated. Make the amount that Emma had in the end the same. LCM of 2 and 1 is 2.
Total amount that Emma and Reggie had at first
= 3 u + 12 u + 10
= 15 u + 10
15 u + 10 = 100
15 u = 100 - 10
15 u = 90
1 u = 90 ÷ 15 = 6
Amount that Reggie had at first
= 12 u + 10
= 12 x 6 + 10
= 72 + 10
= $82
Answer(s): $82
