Luke had $160 less than Asher. If Asher spends $170 and Luke's mother gave Luke $510, Asher will have
15 as much money as Luke. How much money did Luke and Asher have?
| |
Make p the same
(1)x5 = (3) |
Luke
(1) |
Asher
(2) |
| Before |
5 u |
1 u |
1 u + 160 |
| Change |
- 850 |
- 170 |
+ 510 |
| After |
5 p |
1 p |
5 p |
Since Luke had $160 less than Asher, this means Asher had $160 more than Luke.
1 u - 170 = 1 p --- (1)
1 u + 160 + 510 = 5 p
1 u + 670 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 850 =
5 p --- (3)
(3) = (2)
5 u - 850 = 1 u + 670
5 u - 1 u = 670 + 850
4 u = 1520
1 u = 1520 ÷ 4 = 380
Total amount that Luke and Asher had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 380 + 160
= 760 + 160
= $920
Answer(s): $920
