Ken had $200 less than Dylan. If Dylan spends $150 and Ken's mother gave Ken $370, Dylan will have
14 as much money as Ken. How much money did Ken and Dylan have?
| |
Make p the same
(1)x4 = (3) |
Ken
(1) |
Dylan
(2) |
| Before |
4 u |
1 u |
1 u + 200 |
| Change |
- 600 |
- 150 |
+ 370 |
| After |
4 p |
1 p |
4 p |
Since Ken had $200 less than Dylan, this means Dylan had $200 more than Ken.
1 u - 150 = 1 p --- (1)
1 u + 200 + 370 = 4 p
1 u + 570 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 600 =
4 p --- (3)
(3) = (2)
4 u - 600 = 1 u + 570
4 u - 1 u = 570 + 600
3 u = 1170
1 u = 1170 ÷ 3 = 390
Total amount that Ken and Dylan had
= 1 u + 1 u + 200
= 2 u + 200
= 2 x 390 + 200
= 780 + 200
= $980
Answer(s): $980
