John had $160 less than Jenson. If Jenson spends $140 and John's mother gave John $240, Jenson will have
13 as much money as John. How much money did John and Jenson have?
| |
Make p the same
(1)x3 = (3) |
John
(1) |
Jenson
(2) |
| Before |
3 u |
1 u |
1 u + 160 |
| Change |
- 420 |
- 140 |
+ 240 |
| After |
3 p |
1 p |
3 p |
Since John had $160 less than Jenson, this means Jenson had $160 more than John.
1 u - 140 = 1 p --- (1)
1 u + 160 + 240 = 3 p
1 u + 400 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 420 =
3 p --- (3)
(3) = (2)
3 u - 420 = 1 u + 400
3 u - 1 u = 400 + 420
2 u = 820
1 u = 820 ÷ 2 = 410
Total amount that John and Jenson had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 410 + 160
= 820 + 160
= $980
Answer(s): $980
