A fund-raising project 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 $257 while Club D raised another $265. 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 |
+ 257 |
+ 265 |
+ 795 |
| After |
3 p |
1 p |
3 p |
5 u + 257 =
3 p --- (1)
1 u + 265 = 1 p --- (2)
(2)
x3
3 u + 795 =
3 p --- (3)
(1) = (3)
5 u + 257 = 3 u + 795
5 u - 3 u = 795 - 257
2 u = 538
1 u = 538 ÷ 2 = 269
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 269
= $1614
Total amount of money raised in 2 weeks by the two clubs
= 1614 + 257 + 265
= $2136
Answer(s): $2136
