A fund-raising project lasted 2 weeks. In the first week, Club G raised 5 times as much money as Club H. ln the second week, Club G raised another $298 while Club H raised another $242. The total amount raised by Club G was thrice as much money as the total amount raised by Club H. What was the total amount of money raised by the two clubs?
| |
Club G
(1) |
Club H
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 298 |
+ 242 |
+ 726 |
| After |
3 p |
1 p |
3 p |
5 u + 298 =
3 p --- (1)
1 u + 242 = 1 p --- (2)
(2)
x3
3 u + 726 =
3 p --- (3)
(1) = (3)
5 u + 298 = 3 u + 726
5 u - 3 u = 726 - 298
2 u = 428
1 u = 428 ÷ 2 = 214
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 214
= $1284
Total amount of money raised in 2 weeks by the two clubs
= 1284 + 298 + 242
= $1824
Answer(s): $1824
