Oscar had $180 less than Henry. If Henry spends $90 and Oscar's mother gave Oscar $130, Henry will have
13 as much money as Oscar. How much money did Oscar and Henry have?
| |
Make p the same
(1)x3 = (3) |
Oscar
(1) |
Henry
(2) |
| Before |
3 u |
1 u |
1 u + 180 |
| Change |
- 270 |
- 90 |
+ 130 |
| After |
3 p |
1 p |
3 p |
Since Oscar had $180 less than Henry, this means Henry had $180 more than Oscar.
1 u - 90 = 1 p --- (1)
1 u + 180 + 130 = 3 p
1 u + 310 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 270 =
3 p --- (3)
(3) = (2)
3 u - 270 = 1 u + 310
3 u - 1 u = 310 + 270
2 u = 580
1 u = 580 ÷ 2 = 290
Total amount that Oscar and Henry had
= 1 u + 1 u + 180
= 2 u + 180
= 2 x 290 + 180
= 580 + 180
= $760
Answer(s): $760
