Nicole and Bryan had a total of $76. After Nicole spent
13 of her money and Bryan spent $6, the ratio of Nicole's money to Kennenth's money became 1 : 2. How much money had Bryan at first?
| |
Nicole |
Bryan |
Total |
| Before |
3 u |
4 u + $6 |
$76 |
| Change |
- 1 u |
- $6 |
|
| After |
2 u |
|
|
Comparing Nicole and
Bryan in the end |
1x2 =
2 u |
2x2 =
4 u |
|
The amount that Nicole had in the end is repeated. Make the amount that Nicole had in the end the same. LCM of 2 and 1 is 2.
Total amount that Nicole and Bryan had at first
= 3 u + 4 u + 6
= 7 u + 6
7 u + 6 = 76
7 u = 76 - 6
7 u = 70
1 u = 70 ÷ 7 = 10
Amount that Bryan had at first
= 4 u + 6
= 4 x 10 + 6
= 40 + 6
= $46
Answer(s): $46
