Xavier had $200 less than Ian. If Ian spends $180 and Xavier's mother gave Xavier $40, Ian will have
14 as much money as Xavier. How much money did Xavier and Ian have?
| |
Make p the same
(1)x4 = (3) |
Xavier
(1) |
Ian
(2) |
| Before |
4 u |
1 u |
1 u + 200 |
| Change |
- 720 |
- 180 |
+ 40 |
| After |
4 p |
1 p |
4 p |
Since Xavier had $200 less than Ian, this means Ian had $200 more than Xavier.
1 u - 180 = 1 p --- (1)
1 u + 200 + 40 = 4 p
1 u + 240 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 720 =
4 p --- (3)
(3) = (2)
4 u - 720 = 1 u + 240
4 u - 1 u = 240 + 720
3 u = 960
1 u = 960 ÷ 3 = 320
Total amount that Xavier and Ian had
= 1 u + 1 u + 200
= 2 u + 200
= 2 x 320 + 200
= 640 + 200
= $840
Answer(s): $840
