Lee had $100 less than Dylan. If Dylan spends $180 and Lee's mother gave Lee $220, Dylan will have
16 as much money as Lee. How much money did Lee and Dylan have?
| |
Make p the same
(1)x6 = (3) |
Lee
(1) |
Dylan
(2) |
| Before |
6 u |
1 u |
1 u + 100 |
| Change |
- 1080 |
- 180 |
+ 220 |
| After |
6 p |
1 p |
6 p |
Since Lee had $100 less than Dylan, this means Dylan had $100 more than Lee.
1 u - 180 = 1 p --- (1)
1 u + 100 + 220 = 6 p
1 u + 320 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 1080 =
6 p --- (3)
(3) = (2)
6 u - 1080 = 1 u + 320
6 u - 1 u = 320 + 1080
5 u = 1400
1 u = 1400 ÷ 5 = 280
Total amount that Lee and Dylan had
= 1 u + 1 u + 100
= 2 u + 100
= 2 x 280 + 100
= 560 + 100
= $660
Answer(s): $660
