Zeph had $110 less than Fred. If Fred spends $140 and Zeph's mother gave Zeph $440, Fred will have
14 as much money as Zeph. How much money did Zeph and Fred have?
| |
Make p the same
(1)x4 = (3) |
Zeph
(1) |
Fred
(2) |
| Before |
4 u |
1 u |
1 u + 110 |
| Change |
- 560 |
- 140 |
+ 440 |
| After |
4 p |
1 p |
4 p |
Since Zeph had $110 less than Fred, this means Fred had $110 more than Zeph.
1 u - 140 = 1 p --- (1)
1 u + 110 + 440 = 4 p
1 u + 550 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 560 =
4 p --- (3)
(3) = (2)
4 u - 560 = 1 u + 550
4 u - 1 u = 550 + 560
3 u = 1110
1 u = 1110 ÷ 3 = 370
Total amount that Zeph and Fred had
= 1 u + 1 u + 110
= 2 u + 110
= 2 x 370 + 110
= 740 + 110
= $850
Answer(s): $850
