Gabriel had $140 less than Brandon. If Brandon spends $200 and Gabriel's mother gave Gabriel $60, Brandon will have
15 as much money as Gabriel. How much money did Gabriel and Brandon have?
| |
Make p the same
(1)x5 = (3) |
Gabriel
(1) |
Brandon
(2) |
| Before |
5 u |
1 u |
1 u + 140 |
| Change |
- 1000 |
- 200 |
+ 60 |
| After |
5 p |
1 p |
5 p |
Since Gabriel had $140 less than Brandon, this means Brandon had $140 more than Gabriel.
1 u - 200 = 1 p --- (1)
1 u + 140 + 60 = 5 p
1 u + 200 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 1000 =
5 p --- (3)
(3) = (2)
5 u - 1000 = 1 u + 200
5 u - 1 u = 200 + 1000
4 u = 1200
1 u = 1200 ÷ 4 = 300
Total amount that Gabriel and Brandon had
= 1 u + 1 u + 140
= 2 u + 140
= 2 x 300 + 140
= 600 + 140
= $740
Answer(s): $740
