Michael had $120 less than Ian. If Ian spends $170 and Michael's mother gave Michael $360, Ian will have
16 as much money as Michael. How much money did Michael and Ian have?
| |
Make p the same
(1)x6 = (3) |
Michael
(1) |
Ian
(2) |
| Before |
6 u |
1 u |
1 u + 120 |
| Change |
- 1020 |
- 170 |
+ 360 |
| After |
6 p |
1 p |
6 p |
Since Michael had $120 less than Ian, this means Ian had $120 more than Michael.
1 u - 170 = 1 p --- (1)
1 u + 120 + 360 = 6 p
1 u + 480 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 1020 =
6 p --- (3)
(3) = (2)
6 u - 1020 = 1 u + 480
6 u - 1 u = 480 + 1020
5 u = 1500
1 u = 1500 ÷ 5 = 300
Total amount that Michael and Ian had
= 1 u + 1 u + 120
= 2 u + 120
= 2 x 300 + 120
= 600 + 120
= $720
Answer(s): $720
