A fund-raising project lasted 2 weeks. In the first week, Club Q raised 5 times as much money as Club R. ln the second week, Club Q raised another $396 while Club R raised another $280. The total amount raised by Club Q was thrice as much money as the total amount raised by Club R. What was the total amount of money raised by the two clubs?
| |
Club Q
(1) |
Club R
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 396 |
+ 280 |
+ 840 |
| After |
3 p |
1 p |
3 p |
5 u + 396 =
3 p --- (1)
1 u + 280 = 1 p --- (2)
(2)
x3
3 u + 840 =
3 p --- (3)
(1) = (3)
5 u + 396 = 3 u + 840
5 u - 3 u = 840 - 396
2 u = 444
1 u = 444 ÷ 2 = 222
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 222
= $1332
Total amount of money raised in 2 weeks by the two clubs
= 1332 + 396 + 280
= $2008
Answer(s): $2008
