A fund-raising project lasted 2 weeks. In the first week, Club F raised 4 times as much money as Club G. ln the second week, Club F raised another $242 while Club G raised another $182. The total amount raised by Club F was twice as much money as the total amount raised by Club G. What was the total amount of money raised by the two clubs?
| |
Club F
(1) |
Club G
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 242 |
+ 182 |
+ 364 |
| After |
2 p |
1 p |
2 p |
4 u + 242 =
2 p --- (1)
1 u + 182 = 1 p --- (2)
(2)
x2
2 u + 364 =
2 p --- (3)
(1) = (3)
4 u + 242 = 2 u + 364
4 u - 2 u = 364 - 242
2 u = 122
1 u = 122 ÷ 2 = 61
Total amount raised by both clubs in the first week
= 4 u + 1 u
= 5 u
= 5 x 61
= $305
Total amount of money raised in 2 weeks by the two clubs
= 305 + 242 + 182
= $729
Answer(s): $729
