Zane had $110 less than Ivan. If Ivan spends $90 and Zane's mother gave Zane $700, Ivan will have
14 as much money as Zane. How much money did Zane and Ivan have?
| |
Make p the same
(1)x4 = (3) |
Zane
(1) |
Ivan
(2) |
| Before |
4 u |
1 u |
1 u + 110 |
| Change |
- 360 |
- 90 |
+ 700 |
| After |
4 p |
1 p |
4 p |
Since Zane had $110 less than Ivan, this means Ivan had $110 more than Zane.
1 u - 90 = 1 p --- (1)
1 u + 110 + 700 = 4 p
1 u + 810 =
4 p --- (2)
Make p the same.
(1)
x4
4 u - 360 =
4 p --- (3)
(3) = (2)
4 u - 360 = 1 u + 810
4 u - 1 u = 810 + 360
3 u = 1170
1 u = 1170 ÷ 3 = 390
Total amount that Zane and Ivan had
= 1 u + 1 u + 110
= 2 u + 110
= 2 x 390 + 110
= 780 + 110
= $890
Answer(s): $890
