Ahmad had $100 less than Archie. If Archie spends $150 and Ahmad's mother gave Ahmad $110, Archie will have
13 as much money as Ahmad. How much money did Ahmad and Archie have?
| |
Make p the same
(1)x3 = (3) |
Ahmad
(1) |
Archie
(2) |
| Before |
3 u |
1 u |
1 u + 100 |
| Change |
- 450 |
- 150 |
+ 110 |
| After |
3 p |
1 p |
3 p |
Since Ahmad had $100 less than Archie, this means Archie had $100 more than Ahmad.
1 u - 150 = 1 p --- (1)
1 u + 100 + 110 = 3 p
1 u + 210 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 450 =
3 p --- (3)
(3) = (2)
3 u - 450 = 1 u + 210
3 u - 1 u = 210 + 450
2 u = 660
1 u = 660 ÷ 2 = 330
Total amount that Ahmad and Archie had
= 1 u + 1 u + 100
= 2 u + 100
= 2 x 330 + 100
= 660 + 100
= $760
Answer(s): $760
