A fund-raising project lasted 2 weeks. In the first week, Club N raised 5 times as much money as Club P. ln the second week, Club N raised another $349 while Club P raised another $311. The total amount raised by Club N was thrice as much money as the total amount raised by Club P. What was the total amount of money raised by the two clubs?
|
Club N (1) |
Club P (2) |
Make p the same. (2)x3 = (3) |
Before |
5 u |
1 u |
3 u |
Change |
+ 349 |
+ 311 |
+ 933 |
After |
3 p |
1 p |
3 p |
5 u + 349 =
3 p --- (1)
1 u + 311 = 1 p --- (2)
(2)
x3
3 u + 933 =
3 p --- (3)
(1) = (3)
5 u + 349 = 3 u + 933
5 u - 3 u = 933 - 349
2 u = 584
1 u = 584 ÷ 2 = 292
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 292
= $1752
Total amount of money raised in 2 weeks by the two clubs
= 1752 + 349 + 311
= $2412
Answer(s): $2412