Asher had $180 less than Luke. If Luke spends $110 and Asher's mother gave Asher $670, Luke will have
15 as much money as Asher. How much money did Asher and Luke have?
| |
Make p the same
(1)x5 = (3) |
Asher
(1) |
Luke
(2) |
| Before |
5 u |
1 u |
1 u + 180 |
| Change |
- 550 |
- 110 |
+ 670 |
| After |
5 p |
1 p |
5 p |
Since Asher had $180 less than Luke, this means Luke had $180 more than Asher.
1 u - 110 = 1 p --- (1)
1 u + 180 + 670 = 5 p
1 u + 850 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 550 =
5 p --- (3)
(3) = (2)
5 u - 550 = 1 u + 850
5 u - 1 u = 850 + 550
4 u = 1400
1 u = 1400 ÷ 4 = 350
Total amount that Asher and Luke had
= 1 u + 1 u + 180
= 2 u + 180
= 2 x 350 + 180
= 700 + 180
= $880
Answer(s): $880
