Luke had $110 less than Billy. If Billy spends $120 and Luke's mother gave Luke $330, Billy will have
13 as much money as Luke. How much money did Luke and Billy have?
| |
Make p the same
(1)x3 = (3) |
Luke
(1) |
Billy
(2) |
| Before |
3 u |
1 u |
1 u + 110 |
| Change |
- 360 |
- 120 |
+ 330 |
| After |
3 p |
1 p |
3 p |
Since Luke had $110 less than Billy, this means Billy had $110 more than Luke.
1 u - 120 = 1 p --- (1)
1 u + 110 + 330 = 3 p
1 u + 440 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 360 =
3 p --- (3)
(3) = (2)
3 u - 360 = 1 u + 440
3 u - 1 u = 440 + 360
2 u = 800
1 u = 800 ÷ 2 = 400
Total amount that Luke and Billy had
= 1 u + 1 u + 110
= 2 u + 110
= 2 x 400 + 110
= 800 + 110
= $910
Answer(s): $910
