Ian had $160 less than Will. If Will spends $80 and Ian's mother gave Ian $160, Will will have
13 as much money as Ian. How much money did Ian and Will have?
| |
Make p the same
(1)x3 = (3) |
Ian
(1) |
Will
(2) |
| Before |
3 u |
1 u |
1 u + 160 |
| Change |
- 240 |
- 80 |
+ 160 |
| After |
3 p |
1 p |
3 p |
Since Ian had $160 less than Will, this means Will had $160 more than Ian.
1 u - 80 = 1 p --- (1)
1 u + 160 + 160 = 3 p
1 u + 320 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 240 =
3 p --- (3)
(3) = (2)
3 u - 240 = 1 u + 320
3 u - 1 u = 320 + 240
2 u = 560
1 u = 560 ÷ 2 = 280
Total amount that Ian and Will had
= 1 u + 1 u + 160
= 2 u + 160
= 2 x 280 + 160
= 560 + 160
= $720
Answer(s): $720
