Liam had $160 less than Flynn. If Flynn spends $170 and Liam's mother gave Liam $630, Flynn will have
15 as much money as Liam. How much money did Liam and Flynn have?
| |
Make p the same
(1)x5 = (3) |
Liam
(1) |
Flynn
(2) |
| Before |
5 u |
1 u |
1 u + 160 |
| Change |
- 850 |
- 170 |
+ 630 |
| After |
5 p |
1 p |
5 p |
Since Liam had $160 less than Flynn, this means Flynn had $160 more than Liam.
1 u - 170 = 1 p --- (1)
1 u + 160 + 630 = 5 p
1 u + 790 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 850 =
5 p --- (3)
(3) = (2)
5 u - 850 = 1 u + 790
5 u - 1 u = 790 + 850
4 u = 1640
1 u = 1640 ÷ 4 = 410
Total amount that Liam and Flynn had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 410 + 160
= 820 + 160
= $980
Answer(s): $980
