Ian had $150 less than Liam. If Liam spends $140 and Ian's mother gave Ian $710, Liam will have
16 as much money as Ian. How much money did Ian and Liam have?
| |
Make p the same
(1)x6 = (3) |
Ian
(1) |
Liam
(2) |
| Before |
6 u |
1 u |
1 u + 150 |
| Change |
- 840 |
- 140 |
+ 710 |
| After |
6 p |
1 p |
6 p |
Since Ian had $150 less than Liam, this means Liam had $150 more than Ian.
1 u - 140 = 1 p --- (1)
1 u + 150 + 710 = 6 p
1 u + 860 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 840 =
6 p --- (3)
(3) = (2)
6 u - 840 = 1 u + 860
6 u - 1 u = 860 + 840
5 u = 1700
1 u = 1700 ÷ 5 = 340
Total amount that Ian and Liam had
= 1 u + 1 u + 150
= 2 u + 150
= 2 x 340 + 150
= 680 + 150
= $830
Answer(s): $830
