Flynn had $200 less than Caden. If Caden spends $180 and Flynn's mother gave Flynn $460, Caden will have
14 as much money as Flynn. How much money did Flynn and Caden have?
| |
Make p the same
(1)x4 = (3) |
Flynn
(1) |
Caden
(2) |
| Before |
4 u |
1 u |
1 u + 200 |
| Change |
- 720 |
- 180 |
+ 460 |
| After |
4 p |
1 p |
4 p |
Since Flynn had $200 less than Caden, this means Caden had $200 more than Flynn.
1 u - 180 = 1 p --- (1)
1 u + 200 + 460 = 4 p
1 u + 660 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 720 =
4 p --- (3)
(3) = (2)
4 u - 720 = 1 u + 660
4 u - 1 u = 660 + 720
3 u = 1380
1 u = 1380 ÷ 3 = 460
Total amount that Flynn and Caden had
= 1 u + 1 u + 200
= 2 u + 200
= 2 x 460 + 200
= 920 + 200
= $1120
Answer(s): $1120
