Eric had $120 less than Brandon. If Brandon spends $100 and Eric's mother gave Eric $110, Brandon will have
14 as much money as Eric. How much money did Eric and Brandon have?
| |
Make p the same
(1)x4 = (3) |
Eric
(1) |
Brandon
(2) |
| Before |
4 u |
1 u |
1 u + 120 |
| Change |
- 400 |
- 100 |
+ 110 |
| After |
4 p |
1 p |
4 p |
Since Eric had $120 less than Brandon, this means Brandon had $120 more than Eric.
1 u - 100 = 1 p --- (1)
1 u + 120 + 110 = 4 p
1 u + 230 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 400 =
4 p --- (3)
(3) = (2)
4 u - 400 = 1 u + 230
4 u - 1 u = 230 + 400
3 u = 630
1 u = 630 ÷ 3 = 210
Total amount that Eric and Brandon had
= 1 u + 1 u + 120
= 2 u + 120
= 2 x 210 + 120
= 420 + 120
= $540
Answer(s): $540
