A fund-raising project lasted 2 weeks. In the first week, Club E raised 5 times as much money as Club F. ln the second week, Club E raised another $286 while Club F raised another $214. The total amount raised by Club E was thrice as much money as the total amount raised by Club F. What was the total amount of money raised by the two clubs?
|
Club E (1) |
Club F (2) |
Make p the same. (2)x3 = (3) |
Before |
5 u |
1 u |
3 u |
Change |
+ 286 |
+ 214 |
+ 642 |
After |
3 p |
1 p |
3 p |
5 u + 286 =
3 p --- (1)
1 u + 214 = 1 p --- (2)
(2)
x3
3 u + 642 =
3 p --- (3)
(1) = (3)
5 u + 286 = 3 u + 642
5 u - 3 u = 642 - 286
2 u = 356
1 u = 356 ÷ 2 = 178
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 178
= $1068
Total amount of money raised in 2 weeks by the two clubs
= 1068 + 286 + 214
= $1568
Answer(s): $1568