Flynn had $200 less than Billy. If Billy spends $100 and Flynn's mother gave Flynn $860, Billy will have
15 as much money as Flynn. How much money did Flynn and Billy have?
| |
Make p the same
(1)x5 = (3) |
Flynn
(1) |
Billy
(2) |
| Before |
5 u |
1 u |
1 u + 200 |
| Change |
- 500 |
- 100 |
+ 860 |
| After |
5 p |
1 p |
5 p |
Since Flynn had $200 less than Billy, this means Billy had $200 more than Flynn.
1 u - 100 = 1 p --- (1)
1 u + 200 + 860 = 5 p
1 u + 1060 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 500 =
5 p --- (3)
(3) = (2)
5 u - 500 = 1 u + 1060
5 u - 1 u = 1060 + 500
4 u = 1560
1 u = 1560 ÷ 4 = 390
Total amount that Flynn and Billy had
= 1 u + 1 u + 200
= 2 u + 200
= 2 x 390 + 200
= 780 + 200
= $980
Answer(s): $980
