Oscar had $190 less than Howard. If Howard spends $60 and Oscar's mother gave Oscar $50, Howard will have
13 as much money as Oscar. How much money did Oscar and Howard have?
| |
Make p the same
(1)x3 = (3) |
Oscar
(1) |
Howard
(2) |
| Before |
3 u |
1 u |
1 u + 190 |
| Change |
- 180 |
- 60 |
+ 50 |
| After |
3 p |
1 p |
3 p |
Since Oscar had $190 less than Howard, this means Howard had $190 more than Oscar.
1 u - 60 = 1 p --- (1)
1 u + 190 + 50 = 3 p
1 u + 240 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 180 =
3 p --- (3)
(3) = (2)
3 u - 180 = 1 u + 240
3 u - 1 u = 240 + 180
2 u = 420
1 u = 420 ÷ 2 = 210
Total amount that Oscar and Howard had
= 1 u + 1 u + 190
= 2 u + 190
= 2 x 210 + 190
= 420 + 190
= $610
Answer(s): $610
