Luke had $150 less than Ivan. If Ivan spends $130 and Luke's mother gave Luke $120, Ivan will have
15 as much money as Luke. How much money did Luke and Ivan have?
| |
Make p the same
(1)x5 = (3) |
Luke
(1) |
Ivan
(2) |
| Before |
5 u |
1 u |
1 u + 150 |
| Change |
- 650 |
- 130 |
+ 120 |
| After |
5 p |
1 p |
5 p |
Since Luke had $150 less than Ivan, this means Ivan had $150 more than Luke.
1 u - 130 = 1 p --- (1)
1 u + 150 + 120 = 5 p
1 u + 270 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 650 =
5 p --- (3)
(3) = (2)
5 u - 650 = 1 u + 270
5 u - 1 u = 270 + 650
4 u = 920
1 u = 920 ÷ 4 = 230
Total amount that Luke and Ivan had
= 1 u + 1 u + 150
= 2 u + 150
= 2 x 230 + 150
= 460 + 150
= $610
Answer(s): $610
