Winnie and Bryan had a total of $216. After Winnie spent
18 of her money and Bryan spent $16, the ratio of Winnie's money to Kennenth's money became 1 : 6. How much money had Bryan at first?
|
Winnie |
Bryan |
Total |
Before |
8 u |
42 u + $16 |
$216 |
Change |
- 1 u |
- $16 |
|
After |
7 u |
|
|
Comparing Winnie and Bryan in the end |
1x7 = 7 u |
6x7 = 42 u |
|
The amount that Winnie had in the end is repeated. Make the amount that Winnie had in the end the same. LCM of 7 and 1 is 7.
Total amount that Winnie and Bryan had at first
= 8 u + 42 u + 16
= 50 u + 16
50 u + 16 = 216
50 u = 216 - 16
50 u = 200
1 u = 200 ÷ 50 = 4
Amount that Bryan had at first
= 42 u + 16
= 42 x 4 + 16
= 168 + 16
= $184
Answer(s): $184