Gillian and Brandon had a total of $103. After Gillian spent
18 of her money and Brandon spent $16, the ratio of Gillian's money to Kennenth's money became 1 : 3. How much money had Brandon at first?
| |
Gillian |
Brandon |
Total |
| Before |
8 u |
21 u + $16 |
$103 |
| Change |
- 1 u |
- $16 |
|
| After |
7 u |
|
|
Comparing Gillian and
Brandon in the end |
1x7 =
7 u |
3x7 =
21 u |
|
The amount that Gillian had in the end is repeated. Make the amount that Gillian had in the end the same. LCM of 7 and 1 is 7.
Total amount that Gillian and Brandon had at first
= 8 u + 21 u + 16
= 29 u + 16
29 u + 16 = 103
29 u = 103 - 16
29 u = 87
1 u = 87 ÷ 29 = 3
Amount that Brandon had at first
= 21 u + 16
= 21 x 3 + 16
= 63 + 16
= $79
Answer(s): $79
