Xavier had $120 less than Ben. If Ben spends $60 and Xavier's mother gave Xavier $180, Ben will have
13 as much money as Xavier. How much money did Xavier and Ben have?
| |
Make p the same
(1)x3 = (3) |
Xavier
(1) |
Ben
(2) |
| Before |
3 u |
1 u |
1 u + 120 |
| Change |
- 180 |
- 60 |
+ 180 |
| After |
3 p |
1 p |
3 p |
Since Xavier had $120 less than Ben, this means Ben had $120 more than Xavier.
1 u - 60 = 1 p --- (1)
1 u + 120 + 180 = 3 p
1 u + 300 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 180 =
3 p --- (3)
(3) = (2)
3 u - 180 = 1 u + 300
3 u - 1 u = 300 + 180
2 u = 480
1 u = 480 ÷ 2 = 240
Total amount that Xavier and Ben had
= 1 u + 1 u + 120
= 2 u + 120
= 2 x 240 + 120
= 480 + 120
= $600
Answer(s): $600
