Archie had $190 less than Ryan. If Ryan spends $70 and Archie's mother gave Archie $990, Ryan will have
16 as much money as Archie. How much money did Archie and Ryan have?
| |
Make p the same
(1)x6 = (3) |
Archie
(1) |
Ryan
(2) |
| Before |
6 u |
1 u |
1 u + 190 |
| Change |
- 420 |
- 70 |
+ 990 |
| After |
6 p |
1 p |
6 p |
Since Archie had $190 less than Ryan, this means Ryan had $190 more than Archie.
1 u - 70 = 1 p --- (1)
1 u + 190 + 990 = 6 p
1 u + 1180 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 420 =
6 p --- (3)
(3) = (2)
6 u - 420 = 1 u + 1180
6 u - 1 u = 1180 + 420
5 u = 1600
1 u = 1600 ÷ 5 = 320
Total amount that Archie and Ryan had
= 1 u + 1 u + 190
= 2 u + 190
= 2 x 320 + 190
= 640 + 190
= $830
Answer(s): $830
