Liam had $200 less than Perry. If Perry spends $100 and Liam's mother gave Liam $330, Perry will have
14 as much money as Liam. How much money did Liam and Perry have?
| |
Make p the same
(1)x4 = (3) |
Liam
(1) |
Perry
(2) |
| Before |
4 u |
1 u |
1 u + 200 |
| Change |
- 400 |
- 100 |
+ 330 |
| After |
4 p |
1 p |
4 p |
Since Liam had $200 less than Perry, this means Perry had $200 more than Liam.
1 u - 100 = 1 p --- (1)
1 u + 200 + 330 = 4 p
1 u + 530 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 400 =
4 p --- (3)
(3) = (2)
4 u - 400 = 1 u + 530
4 u - 1 u = 530 + 400
3 u = 930
1 u = 930 ÷ 3 = 310
Total amount that Liam and Perry had
= 1 u + 1 u + 200
= 2 u + 200
= 2 x 310 + 200
= 620 + 200
= $820
Answer(s): $820
