A charity drive lasted 2 weeks. In the first week, Club J raised 5 times as much money as Club K. ln the second week, Club J raised another $370 while Club K raised another $209. The total amount raised by Club J was twice as much money as the total amount raised by Club K. What was the total amount of money raised by the two clubs?
| |
Club J
(1) |
Club K
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
5 u |
1 u |
2 u |
| Change |
+ 370 |
+ 209 |
+ 418 |
| After |
2 p |
1 p |
2 p |
5 u + 370 =
2 p --- (1)
1 u + 209 = 1 p --- (2)
(2)
x2
2 u + 418 =
2 p --- (3)
(1) = (3)
5 u + 370 = 2 u + 418
5 u - 2 u = 418 - 370
3 u = 48
1 u = 48 ÷ 3 = 16
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 16
= $96
Total amount of money raised in 2 weeks by the two clubs
= 96 + 370 + 209
= $675
Answer(s): $675
