Ahmad had $200 less than Michael. If Michael spends $100 and Ahmad's mother gave Ahmad $240, Michael will have
13 as much money as Ahmad. How much money did Ahmad and Michael have?
| |
Make p the same
(1)x3 = (3) |
Ahmad
(1) |
Michael
(2) |
| Before |
3 u |
1 u |
1 u + 200 |
| Change |
- 300 |
- 100 |
+ 240 |
| After |
3 p |
1 p |
3 p |
Since Ahmad had $200 less than Michael, this means Michael had $200 more than Ahmad.
1 u - 100 = 1 p --- (1)
1 u + 200 + 240 = 3 p
1 u + 440 =
3 p --- (2)
Make p the same.
(1)
x3
3 u - 300 =
3 p --- (3)
(3) = (2)
3 u - 300 = 1 u + 440
3 u - 1 u = 440 + 300
2 u = 740
1 u = 740 ÷ 2 = 370
Total amount that Ahmad and Michael had
= 1 u + 1 u + 200
= 2 u + 200
= 2 x 370 + 200
= 740 + 200
= $940
Answer(s): $940
