Ivan had $170 less than Tim. If Tim spends $130 and Ivan's mother gave Ivan $620, Tim will have
15 as much money as Ivan. How much money did Ivan and Tim have?
| |
Make p the same
(1)x5 = (3) |
Ivan
(1) |
Tim
(2) |
| Before |
5 u |
1 u |
1 u + 170 |
| Change |
- 650 |
- 130 |
+ 620 |
| After |
5 p |
1 p |
5 p |
Since Ivan had $170 less than Tim, this means Tim had $170 more than Ivan.
1 u - 130 = 1 p --- (1)
1 u + 170 + 620 = 5 p
1 u + 790 =
5 p --- (2)
Make p the same.
(1)
x5
5 u - 650 =
5 p --- (3)
(3) = (2)
5 u - 650 = 1 u + 790
5 u - 1 u = 790 + 650
4 u = 1440
1 u = 1440 ÷ 4 = 360
Total amount that Ivan and Tim had
= 1 u + 1 u + 170
= 2 u + 170
= 2 x 360 + 170
= 720 + 170
= $890
Answer(s): $890
