A charity 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 $246 while Club U raised another $236. The total amount raised by Club T was thrice 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)x3 = (3) |
Before |
5 u |
1 u |
3 u |
Change |
+ 246 |
+ 236 |
+ 708 |
After |
3 p |
1 p |
3 p |
5 u + 246 =
3 p --- (1)
1 u + 236 = 1 p --- (2)
(2)
x3
3 u + 708 =
3 p --- (3)
(1) = (3)
5 u + 246 = 3 u + 708
5 u - 3 u = 708 - 246
2 u = 462
1 u = 462 ÷ 2 = 231
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 231
= $1386
Total amount of money raised in 2 weeks by the two clubs
= 1386 + 246 + 236
= $1868
Answer(s): $1868