Ryan had $200 less than Justin. If Justin spends $180 and Ryan's mother gave Ryan $770, Justin will have
16 as much money as Ryan. How much money did Ryan and Justin have?
| |
Make p the same
(1)x6 = (3) |
Ryan
(1) |
Justin
(2) |
| Before |
6 u |
1 u |
1 u + 200 |
| Change |
- 1080 |
- 180 |
+ 770 |
| After |
6 p |
1 p |
6 p |
Since Ryan had $200 less than Justin, this means Justin had $200 more than Ryan.
1 u - 180 = 1 p --- (1)
1 u + 200 + 770 = 6 p
1 u + 970 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 1080 =
6 p --- (3)
(3) = (2)
6 u - 1080 = 1 u + 970
6 u - 1 u = 970 + 1080
5 u = 2050
1 u = 2050 ÷ 5 = 410
Total amount that Ryan and Justin had
= 1 u + 1 u + 200
= 2 u + 200
= 2 x 410 + 200
= 820 + 200
= $1020
Answer(s): $1020
