Fabian had $170 less than Andy. If Andy spends $60 and Fabian's mother gave Fabian $110, Andy will have
13 as much money as Fabian. How much money did Fabian and Andy have?
| |
Make p the same
(1)x3 = (3) |
Fabian
(1) |
Andy
(2) |
| Before |
3 u |
1 u |
1 u + 170 |
| Change |
- 180 |
- 60 |
+ 110 |
| After |
3 p |
1 p |
3 p |
Since Fabian had $170 less than Andy, this means Andy had $170 more than Fabian.
1 u - 60 = 1 p --- (1)
1 u + 170 + 110 = 3 p
1 u + 280 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 180 =
3 p --- (3)
(3) = (2)
3 u - 180 = 1 u + 280
3 u - 1 u = 280 + 180
2 u = 460
1 u = 460 ÷ 2 = 230
Total amount that Fabian and Andy had
= 1 u + 1 u + 170
= 2 u + 170
= 2 x 230 + 170
= 460 + 170
= $630
Answer(s): $630
