Billy had $180 less than Jenson. If Jenson spends $50 and Billy's mother gave Billy $170, Jenson will have
13 as much money as Billy. How much money did Billy and Jenson have?
| |
Make p the same
(1)x3 = (3) |
Billy
(1) |
Jenson
(2) |
| Before |
3 u |
1 u |
1 u + 180 |
| Change |
- 150 |
- 50 |
+ 170 |
| After |
3 p |
1 p |
3 p |
Since Billy had $180 less than Jenson, this means Jenson had $180 more than Billy.
1 u - 50 = 1 p --- (1)
1 u + 180 + 170 = 3 p
1 u + 350 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 150 =
3 p --- (3)
(3) = (2)
3 u - 150 = 1 u + 350
3 u - 1 u = 350 + 150
2 u = 500
1 u = 500 ÷ 2 = 250
Total amount that Billy and Jenson had
= 1 u + 1 u + 180
= 2 u + 180
= 2 x 250 + 180
= 500 + 180
= $680
Answer(s): $680
