A donation drive 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 $258 while Club X raised another $343. 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 |
+ 258 |
+ 343 |
+ 686 |
After |
2 p |
1 p |
2 p |
4 u + 258 =
2 p --- (1)
1 u + 343 = 1 p --- (2)
(2)
x2
2 u + 686 =
2 p --- (3)
(1) = (3)
4 u + 258 = 2 u + 686
4 u - 2 u = 686 - 258
2 u = 428
1 u = 428 ÷ 2 = 214
Total amount raised by both clubs in the first week
= 4 u + 1 u
= 5 u
= 5 x 214
= $1070
Total amount of money raised in 2 weeks by the two clubs
= 1070 + 258 + 343
= $1671
Answer(s): $1671