Gabriel had $200 less than Brandon. If Brandon spends $140 and Gabriel's mother gave Gabriel $310, Brandon will have
16 as much money as Gabriel. How much money did Gabriel and Brandon have?
| |
Make p the same
(1)x6 = (3) |
Gabriel
(1) |
Brandon
(2) |
| Before |
6 u |
1 u |
1 u + 200 |
| Change |
- 840 |
- 140 |
+ 310 |
| After |
6 p |
1 p |
6 p |
Since Gabriel had $200 less than Brandon, this means Brandon had $200 more than Gabriel.
1 u - 140 = 1 p --- (1)
1 u + 200 + 310 = 6 p
1 u + 510 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 840 =
6 p --- (3)
(3) = (2)
6 u - 840 = 1 u + 510
6 u - 1 u = 510 + 840
5 u = 1350
1 u = 1350 ÷ 5 = 270
Total amount that Gabriel and Brandon had
= 1 u + 1 u + 200
= 2 u + 200
= 2 x 270 + 200
= 540 + 200
= $740
Answer(s): $740
