Emma and John had a total of $59. After Emma spent
58 of her money and John spent $3, the ratio of Emma's money to Kennenth's money became 1 : 2. How much money had John at first?
| |
Emma |
John |
Total |
| Before |
8 u |
6 u + $3 |
$59 |
| Change |
- 5 u |
- $3 |
|
| After |
3 u |
|
|
Comparing Emma and
John in the end |
1x3 =
3 u |
2x3 =
6 u |
|
The amount that Emma had in the end is repeated. Make the amount that Emma had in the end the same. LCM of 3 and 1 is 3.
Total amount that Emma and John had at first
= 8 u + 6 u + 3
= 14 u + 3
14 u + 3 = 59
14 u = 59 - 3
14 u = 56
1 u = 56 ÷ 14 = 4
Amount that John had at first
= 6 u + 3
= 6 x 4 + 3
= 24 + 3
= $27
Answer(s): $27
