Luke had $130 less than Elijah. If Elijah spends $100 and Luke's mother gave Luke $430, Elijah will have
14 as much money as Luke. How much money did Luke and Elijah have?
| |
Make p the same
(1)x4 = (3) |
Luke
(1) |
Elijah
(2) |
| Before |
4 u |
1 u |
1 u + 130 |
| Change |
- 400 |
- 100 |
+ 430 |
| After |
4 p |
1 p |
4 p |
Since Luke had $130 less than Elijah, this means Elijah had $130 more than Luke.
1 u - 100 = 1 p --- (1)
1 u + 130 + 430 = 4 p
1 u + 560 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 400 =
4 p --- (3)
(3) = (2)
4 u - 400 = 1 u + 560
4 u - 1 u = 560 + 400
3 u = 960
1 u = 960 ÷ 3 = 320
Total amount that Luke and Elijah had
= 1 u + 1 u + 130
= 2 u + 130
= 2 x 320 + 130
= 640 + 130
= $770
Answer(s): $770
