A fund-raising project lasted 2 weeks. In the first week, Club W raised 4 times as much money as Club X. ln the second week, Club W raised another $206 while Club X raised another $359. The total amount raised by Club W was twice as much money as the total amount raised by Club X. What was the total amount of money raised by the two clubs?
| |
Club W
(1) |
Club X
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 206 |
+ 359 |
+ 718 |
| After |
2 p |
1 p |
2 p |
4 u + 206 =
2 p --- (1)
1 u + 359 = 1 p --- (2)
(2)
x2
2 u + 718 =
2 p --- (3)
(1) = (3)
4 u + 206 = 2 u + 718
4 u - 2 u = 718 - 206
2 u = 512
1 u = 512 ÷ 2 = 256
Total amount raised by both clubs in the first week
= 4 u + 1 u
= 5 u
= 5 x 256
= $1280
Total amount of money raised in 2 weeks by the two clubs
= 1280 + 206 + 359
= $1845
Answer(s): $1845
