Rael had $110 less than Wesley. If Wesley spends $80 and Rael's mother gave Rael $190, Wesley will have
13 as much money as Rael. How much money did Rael and Wesley have?
| |
Make p the same
(1)x3 = (3) |
Rael
(1) |
Wesley
(2) |
| Before |
3 u |
1 u |
1 u + 110 |
| Change |
- 240 |
- 80 |
+ 190 |
| After |
3 p |
1 p |
3 p |
Since Rael had $110 less than Wesley, this means Wesley had $110 more than Rael.
1 u - 80 = 1 p --- (1)
1 u + 110 + 190 = 3 p
1 u + 300 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 240 =
3 p --- (3)
(3) = (2)
3 u - 240 = 1 u + 300
3 u - 1 u = 300 + 240
2 u = 540
1 u = 540 ÷ 2 = 270
Total amount that Rael and Wesley had
= 1 u + 1 u + 110
= 2 u + 110
= 2 x 270 + 110
= 540 + 110
= $650
Answer(s): $650
