Ben had $150 less than Jack. If Jack spends $90 and Ben's mother gave Ben $810, Jack will have
16 as much money as Ben. How much money did Ben and Jack have?
| |
Make p the same
(1)x6 = (3) |
Ben
(1) |
Jack
(2) |
| Before |
6 u |
1 u |
1 u + 150 |
| Change |
- 540 |
- 90 |
+ 810 |
| After |
6 p |
1 p |
6 p |
Since Ben had $150 less than Jack, this means Jack had $150 more than Ben.
1 u - 90 = 1 p --- (1)
1 u + 150 + 810 = 6 p
1 u + 960 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 540 =
6 p --- (3)
(3) = (2)
6 u - 540 = 1 u + 960
6 u - 1 u = 960 + 540
5 u = 1500
1 u = 1500 ÷ 5 = 300
Total amount that Ben and Jack had
= 1 u + 1 u + 150
= 2 u + 150
= 2 x 300 + 150
= 600 + 150
= $750
Answer(s): $750
