Vincent had $170 less than Pierre. If Pierre spends $50 and Vincent's mother gave Vincent $300, Pierre will have
13 as much money as Vincent. How much money did Vincent and Pierre have?
| |
Make p the same
(1)x3 = (3) |
Vincent
(1) |
Pierre
(2) |
| Before |
3 u |
1 u |
1 u + 170 |
| Change |
- 150 |
- 50 |
+ 300 |
| After |
3 p |
1 p |
3 p |
Since Vincent had $170 less than Pierre, this means Pierre had $170 more than Vincent.
1 u - 50 = 1 p --- (1)
1 u + 170 + 300 = 3 p
1 u + 470 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 150 =
3 p --- (3)
(3) = (2)
3 u - 150 = 1 u + 470
3 u - 1 u = 470 + 150
2 u = 620
1 u = 620 ÷ 2 = 310
Total amount that Vincent and Pierre had
= 1 u + 1 u + 170
= 2 u + 170
= 2 x 310 + 170
= 620 + 170
= $790
Answer(s): $790
