A donation drive lasted 2 weeks. In the first week, Club T raised 5 times as much money as Club U. ln the second week, Club T raised another $340 while Club U raised another $236. The total amount raised by Club T was twice as much money as the total amount raised by Club U. What was the total amount of money raised by the two clubs?
|
Club T (1) |
Club U (2) |
Make p the same. (2)x2 = (3) |
Before |
5 u |
1 u |
2 u |
Change |
+ 340 |
+ 236 |
+ 472 |
After |
2 p |
1 p |
2 p |
5 u + 340 =
2 p --- (1)
1 u + 236 = 1 p --- (2)
(2)
x2
2 u + 472 =
2 p --- (3)
(1) = (3)
5 u + 340 = 2 u + 472
5 u - 2 u = 472 - 340
3 u = 132
1 u = 132 ÷ 3 = 44
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 44
= $264
Total amount of money raised in 2 weeks by the two clubs
= 264 + 340 + 236
= $840
Answer(s): $840