A fund-raising project lasted 2 weeks. In the first week, Club J raised 4 times as much money as Club K. ln the second week, Club J raised another $326 while Club K raised another $251. 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 |
4 u |
1 u |
2 u |
| Change |
+ 326 |
+ 251 |
+ 502 |
| After |
2 p |
1 p |
2 p |
4 u + 326 =
2 p --- (1)
1 u + 251 = 1 p --- (2)
(2)
x2
2 u + 502 =
2 p --- (3)
(1) = (3)
4 u + 326 = 2 u + 502
4 u - 2 u = 502 - 326
2 u = 176
1 u = 176 ÷ 2 = 88
Total amount raised by both clubs in the first week
= 4 u + 1 u
= 5 u
= 5 x 88
= $440
Total amount of money raised in 2 weeks by the two clubs
= 440 + 326 + 251
= $1017
Answer(s): $1017
