Oscar had $110 less than Glen. If Glen spends $60 and Oscar's mother gave Oscar $250, Glen will have
13 as much money as Oscar. How much money did Oscar and Glen have?
| |
Make p the same
(1)x3 = (3) |
Oscar
(1) |
Glen
(2) |
| Before |
3 u |
1 u |
1 u + 110 |
| Change |
- 180 |
- 60 |
+ 250 |
| After |
3 p |
1 p |
3 p |
Since Oscar had $110 less than Glen, this means Glen had $110 more than Oscar.
1 u - 60 = 1 p --- (1)
1 u + 110 + 250 = 3 p
1 u + 360 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 180 =
3 p --- (3)
(3) = (2)
3 u - 180 = 1 u + 360
3 u - 1 u = 360 + 180
2 u = 540
1 u = 540 ÷ 2 = 270
Total amount that Oscar and Glen had
= 1 u + 1 u + 110
= 2 u + 110
= 2 x 270 + 110
= 540 + 110
= $650
Answer(s): $650
