Emma and Charlie had a total of $233. After Emma spent
17 of her money and Charlie spent $16, the ratio of Emma's money to Kennenth's money became 1 : 4. How much money had Charlie at first?
| |
Emma |
Charlie |
Total |
| Before |
7 u |
24 u + $16 |
$233 |
| Change |
- 1 u |
- $16 |
|
| After |
6 u |
|
|
Comparing Emma and
Charlie in the end |
1x6 =
6 u |
4x6 =
24 u |
|
The amount that Emma had in the end is repeated. Make the amount that Emma had in the end the same. LCM of 6 and 1 is 6.
Total amount that Emma and Charlie had at first
= 7 u + 24 u + 16
= 31 u + 16
31 u + 16 = 233
31 u = 233 - 16
31 u = 217
1 u = 217 ÷ 31 = 7
Amount that Charlie had at first
= 24 u + 16
= 24 x 7 + 16
= 168 + 16
= $184
Answer(s): $184
