Ahmad had $180 less than Paul. If Paul spends $70 and Ahmad's mother gave Ahmad $450, Paul will have
16 as much money as Ahmad. How much money did Ahmad and Paul have?
| |
Make p the same
(1)x6 = (3) |
Ahmad
(1) |
Paul
(2) |
| Before |
6 u |
1 u |
1 u + 180 |
| Change |
- 420 |
- 70 |
+ 450 |
| After |
6 p |
1 p |
6 p |
Since Ahmad had $180 less than Paul, this means Paul had $180 more than Ahmad.
1 u - 70 = 1 p --- (1)
1 u + 180 + 450 = 6 p
1 u + 630 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 420 =
6 p --- (3)
(3) = (2)
6 u - 420 = 1 u + 630
6 u - 1 u = 630 + 420
5 u = 1050
1 u = 1050 ÷ 5 = 210
Total amount that Ahmad and Paul had
= 1 u + 1 u + 180
= 2 u + 180
= 2 x 210 + 180
= 420 + 180
= $600
Answer(s): $600
