Tom had $170 less than Charlie. If Charlie spends $90 and Tom's mother gave Tom $430, Charlie will have
14 as much money as Tom. How much money did Tom and Charlie have?
| |
Make p the same
(1)x4 = (3) |
Tom
(1) |
Charlie
(2) |
| Before |
4 u |
1 u |
1 u + 170 |
| Change |
- 360 |
- 90 |
+ 430 |
| After |
4 p |
1 p |
4 p |
Since Tom had $170 less than Charlie, this means Charlie had $170 more than Tom.
1 u - 90 = 1 p --- (1)
1 u + 170 + 430 = 4 p
1 u + 600 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 360 =
4 p --- (3)
(3) = (2)
4 u - 360 = 1 u + 600
4 u - 1 u = 600 + 360
3 u = 960
1 u = 960 ÷ 3 = 320
Total amount that Tom and Charlie had
= 1 u + 1 u + 170
= 2 u + 170
= 2 x 320 + 170
= 640 + 170
= $810
Answer(s): $810
