Howard had $110 less than George. If George spends $120 and Howard's mother gave Howard $210, George will have
15 as much money as Howard. How much money did Howard and George have?
| |
Make p the same
(1)x5 = (3) |
Howard
(1) |
George
(2) |
| Before |
5 u |
1 u |
1 u + 110 |
| Change |
- 600 |
- 120 |
+ 210 |
| After |
5 p |
1 p |
5 p |
Since Howard had $110 less than George, this means George had $110 more than Howard.
1 u - 120 = 1 p --- (1)
1 u + 110 + 210 = 5 p
1 u + 320 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 600 =
5 p --- (3)
(3) = (2)
5 u - 600 = 1 u + 320
5 u - 1 u = 320 + 600
4 u = 920
1 u = 920 ÷ 4 = 230
Total amount that Howard and George had
= 1 u + 1 u + 110
= 2 u + 110
= 2 x 230 + 110
= 460 + 110
= $570
Answer(s): $570
