Charlie had $150 less than Caden. If Caden spends $120 and Charlie's mother gave Charlie $230, Caden will have
13 as much money as Charlie. How much money did Charlie and Caden have?
| |
Make p the same
(1)x3 = (3) |
Charlie
(1) |
Caden
(2) |
| Before |
3 u |
1 u |
1 u + 150 |
| Change |
- 360 |
- 120 |
+ 230 |
| After |
3 p |
1 p |
3 p |
Since Charlie had $150 less than Caden, this means Caden had $150 more than Charlie.
1 u - 120 = 1 p --- (1)
1 u + 150 + 230 = 3 p
1 u + 380 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 360 =
3 p --- (3)
(3) = (2)
3 u - 360 = 1 u + 380
3 u - 1 u = 380 + 360
2 u = 740
1 u = 740 ÷ 2 = 370
Total amount that Charlie and Caden had
= 1 u + 1 u + 150
= 2 u + 150
= 2 x 370 + 150
= 740 + 150
= $890
Answer(s): $890
