Ryan had $180 less than Albert. If Albert spends $100 and Ryan's mother gave Ryan $240, Albert will have
13 as much money as Ryan. How much money did Ryan and Albert have?
| |
Make p the same
(1)x3 = (3) |
Ryan
(1) |
Albert
(2) |
| Before |
3 u |
1 u |
1 u + 180 |
| Change |
- 300 |
- 100 |
+ 240 |
| After |
3 p |
1 p |
3 p |
Since Ryan had $180 less than Albert, this means Albert had $180 more than Ryan.
1 u - 100 = 1 p --- (1)
1 u + 180 + 240 = 3 p
1 u + 420 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 300 =
3 p --- (3)
(3) = (2)
3 u - 300 = 1 u + 420
3 u - 1 u = 420 + 300
2 u = 720
1 u = 720 ÷ 2 = 360
Total amount that Ryan and Albert had
= 1 u + 1 u + 180
= 2 u + 180
= 2 x 360 + 180
= 720 + 180
= $900
Answer(s): $900
