Caden had $150 less than Carl. If Carl spends $110 and Caden's mother gave Caden $610, Carl will have
14 as much money as Caden. How much money did Caden and Carl have?
| |
Make p the same
(1)x4 = (3) |
Caden
(1) |
Carl
(2) |
| Before |
4 u |
1 u |
1 u + 150 |
| Change |
- 440 |
- 110 |
+ 610 |
| After |
4 p |
1 p |
4 p |
Since Caden had $150 less than Carl, this means Carl had $150 more than Caden.
1 u - 110 = 1 p --- (1)
1 u + 150 + 610 = 4 p
1 u + 760 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 440 =
4 p --- (3)
(3) = (2)
4 u - 440 = 1 u + 760
4 u - 1 u = 760 + 440
3 u = 1200
1 u = 1200 ÷ 3 = 400
Total amount that Caden and Carl had
= 1 u + 1 u + 150
= 2 u + 150
= 2 x 400 + 150
= 800 + 150
= $950
Answer(s): $950
