Wesley had $160 less than Elijah. If Elijah spends $90 and Wesley's mother gave Wesley $230, Elijah will have
13 as much money as Wesley. How much money did Wesley and Elijah have?
| |
Make p the same
(1)x3 = (3) |
Wesley
(1) |
Elijah
(2) |
| Before |
3 u |
1 u |
1 u + 160 |
| Change |
- 270 |
- 90 |
+ 230 |
| After |
3 p |
1 p |
3 p |
Since Wesley had $160 less than Elijah, this means Elijah had $160 more than Wesley.
1 u - 90 = 1 p --- (1)
1 u + 160 + 230 = 3 p
1 u + 390 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 270 =
3 p --- (3)
(3) = (2)
3 u - 270 = 1 u + 390
3 u - 1 u = 390 + 270
2 u = 660
1 u = 660 ÷ 2 = 330
Total amount that Wesley and Elijah had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 330 + 160
= 660 + 160
= $820
Answer(s): $820
