Henry had $200 less than Andy. If Andy spends $90 and Henry's mother gave Henry $90, Andy will have
13 as much money as Henry. How much money did Henry and Andy have?
| |
Make p the same
(1)x3 = (3) |
Henry
(1) |
Andy
(2) |
| Before |
3 u |
1 u |
1 u + 200 |
| Change |
- 270 |
- 90 |
+ 90 |
| After |
3 p |
1 p |
3 p |
Since Henry had $200 less than Andy, this means Andy had $200 more than Henry.
1 u - 90 = 1 p --- (1)
1 u + 200 + 90 = 3 p
1 u + 290 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 270 =
3 p --- (3)
(3) = (2)
3 u - 270 = 1 u + 290
3 u - 1 u = 290 + 270
2 u = 560
1 u = 560 ÷ 2 = 280
Total amount that Henry and Andy had
= 1 u + 1 u + 200
= 2 u + 200
= 2 x 280 + 200
= 560 + 200
= $760
Answer(s): $760
