Howard had $190 less than Zane. If Zane spends $50 and Howard's mother gave Howard $840, Zane will have
15 as much money as Howard. How much money did Howard and Zane have?
| |
Make p the same
(1)x5 = (3) |
Howard
(1) |
Zane
(2) |
| Before |
5 u |
1 u |
1 u + 190 |
| Change |
- 250 |
- 50 |
+ 840 |
| After |
5 p |
1 p |
5 p |
Since Howard had $190 less than Zane, this means Zane had $190 more than Howard.
1 u - 50 = 1 p --- (1)
1 u + 190 + 840 = 5 p
1 u + 1030 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 250 =
5 p --- (3)
(3) = (2)
5 u - 250 = 1 u + 1030
5 u - 1 u = 1030 + 250
4 u = 1280
1 u = 1280 ÷ 4 = 320
Total amount that Howard and Zane had
= 1 u + 1 u + 190
= 2 u + 190
= 2 x 320 + 190
= 640 + 190
= $830
Answer(s): $830
