Neave had $160 less than Sean. If Sean spends $50 and Neave's mother gave Neave $360, Sean will have
14 as much money as Neave. How much money did Neave and Sean have?
| |
Make p the same
(1)x4 = (3) |
Neave
(1) |
Sean
(2) |
| Before |
4 u |
1 u |
1 u + 160 |
| Change |
- 200 |
- 50 |
+ 360 |
| After |
4 p |
1 p |
4 p |
Since Neave had $160 less than Sean, this means Sean had $160 more than Neave.
1 u - 50 = 1 p --- (1)
1 u + 160 + 360 = 4 p
1 u + 520 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 200 =
4 p --- (3)
(3) = (2)
4 u - 200 = 1 u + 520
4 u - 1 u = 520 + 200
3 u = 720
1 u = 720 ÷ 3 = 240
Total amount that Neave and Sean had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 240 + 160
= 480 + 160
= $640
Answer(s): $640
