A fund-raising project lasted 2 weeks. In the first week, Club A raised 4 times as much money as Club B. ln the second week, Club A raised another $376 while Club B raised another $269. The total amount raised by Club A was twice as much money as the total amount raised by Club B. What was the total amount of money raised by the two clubs?
|
Club A (1) |
Club B (2) |
Make p the same. (2)x2 = (3) |
Before |
4 u |
1 u |
2 u |
Change |
+ 376 |
+ 269 |
+ 538 |
After |
2 p |
1 p |
2 p |
4 u + 376 =
2 p --- (1)
1 u + 269 = 1 p --- (2)
(2)
x2
2 u + 538 =
2 p --- (3)
(1) = (3)
4 u + 376 = 2 u + 538
4 u - 2 u = 538 - 376
2 u = 162
1 u = 162 ÷ 2 = 81
Total amount raised by both clubs in the first week
= 4 u + 1 u
= 5 u
= 5 x 81
= $405
Total amount of money raised in 2 weeks by the two clubs
= 405 + 376 + 269
= $1050
Answer(s): $1050