A charity drive lasted 2 weeks. In the first week, Club C raised 5 times as much money as Club D. ln the second week, Club C raised another $388 while Club D raised another $328. The total amount raised by Club C was thrice as much money as the total amount raised by Club D. What was the total amount of money raised by the two clubs?
|
Club C (1) |
Club D (2) |
Make p the same. (2)x3 = (3) |
Before |
5 u |
1 u |
3 u |
Change |
+ 388 |
+ 328 |
+ 984 |
After |
3 p |
1 p |
3 p |
5 u + 388 =
3 p --- (1)
1 u + 328 = 1 p --- (2)
(2)
x3
3 u + 984 =
3 p --- (3)
(1) = (3)
5 u + 388 = 3 u + 984
5 u - 3 u = 984 - 388
2 u = 596
1 u = 596 ÷ 2 = 298
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 298
= $1788
Total amount of money raised in 2 weeks by the two clubs
= 1788 + 388 + 328
= $2504
Answer(s): $2504