Jenson had $130 less than Charlie. If Charlie spends $160 and Jenson's mother gave Jenson $510, Charlie will have
16 as much money as Jenson. How much money did Jenson and Charlie have?
| |
Make p the same
(1)x6 = (3) |
Jenson
(1) |
Charlie
(2) |
| Before |
6 u |
1 u |
1 u + 130 |
| Change |
- 960 |
- 160 |
+ 510 |
| After |
6 p |
1 p |
6 p |
Since Jenson had $130 less than Charlie, this means Charlie had $130 more than Jenson.
1 u - 160 = 1 p --- (1)
1 u + 130 + 510 = 6 p
1 u + 640 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 960 =
6 p --- (3)
(3) = (2)
6 u - 960 = 1 u + 640
6 u - 1 u = 640 + 960
5 u = 1600
1 u = 1600 ÷ 5 = 320
Total amount that Jenson and Charlie had
= 1 u + 1 u + 130
= 2 u + 130
= 2 x 320 + 130
= 640 + 130
= $770
Answer(s): $770
