Neave had $160 less than Fred. If Fred spends $60 and Neave's mother gave Neave $220, Fred will have
13 as much money as Neave. How much money did Neave and Fred have?
| |
Make p the same
(1)x3 = (3) |
Neave
(1) |
Fred
(2) |
| Before |
3 u |
1 u |
1 u + 160 |
| Change |
- 180 |
- 60 |
+ 220 |
| After |
3 p |
1 p |
3 p |
Since Neave had $160 less than Fred, this means Fred had $160 more than Neave.
1 u - 60 = 1 p --- (1)
1 u + 160 + 220 = 3 p
1 u + 380 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 180 =
3 p --- (3)
(3) = (2)
3 u - 180 = 1 u + 380
3 u - 1 u = 380 + 180
2 u = 560
1 u = 560 ÷ 2 = 280
Total amount that Neave and Fred had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 280 + 160
= 560 + 160
= $720
Answer(s): $720
