Ryan had $130 less than Bryan. If Bryan spends $120 and Ryan's mother gave Ryan $400, Bryan will have
16 as much money as Ryan. How much money did Ryan and Bryan have?
| |
Make p the same
(1)x6 = (3) |
Ryan
(1) |
Bryan
(2) |
| Before |
6 u |
1 u |
1 u + 130 |
| Change |
- 720 |
- 120 |
+ 400 |
| After |
6 p |
1 p |
6 p |
Since Ryan had $130 less than Bryan, this means Bryan had $130 more than Ryan.
1 u - 120 = 1 p --- (1)
1 u + 130 + 400 = 6 p
1 u + 530 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 720 =
6 p --- (3)
(3) = (2)
6 u - 720 = 1 u + 530
6 u - 1 u = 530 + 720
5 u = 1250
1 u = 1250 ÷ 5 = 250
Total amount that Ryan and Bryan had
= 1 u + 1 u + 130
= 2 u + 130
= 2 x 250 + 130
= 500 + 130
= $630
Answer(s): $630
