Tom had $160 less than Jeremy. If Jeremy spends $90 and Tom's mother gave Tom $190, Jeremy will have
13 as much money as Tom. How much money did Tom and Jeremy have?
| |
Make p the same
(1)x3 = (3) |
Tom
(1) |
Jeremy
(2) |
| Before |
3 u |
1 u |
1 u + 160 |
| Change |
- 270 |
- 90 |
+ 190 |
| After |
3 p |
1 p |
3 p |
Since Tom had $160 less than Jeremy, this means Jeremy had $160 more than Tom.
1 u - 90 = 1 p --- (1)
1 u + 160 + 190 = 3 p
1 u + 350 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 270 =
3 p --- (3)
(3) = (2)
3 u - 270 = 1 u + 350
3 u - 1 u = 350 + 270
2 u = 620
1 u = 620 ÷ 2 = 310
Total amount that Tom and Jeremy had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 310 + 160
= 620 + 160
= $780
Answer(s): $780
