A charity drive lasted 2 weeks. In the first week, Club R raised 4 times as much money as Club S. ln the second week, Club R raised another $302 while Club S raised another $305. The total amount raised by Club R was twice as much money as the total amount raised by Club S. What was the total amount of money raised by the two clubs?
| |
Club R
(1) |
Club S
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 302 |
+ 305 |
+ 610 |
| After |
2 p |
1 p |
2 p |
4 u + 302 =
2 p --- (1)
1 u + 305 = 1 p --- (2)
(2)
x2
2 u + 610 =
2 p --- (3)
(1) = (3)
4 u + 302 = 2 u + 610
4 u - 2 u = 610 - 302
2 u = 308
1 u = 308 ÷ 2 = 154
Total amount raised by both clubs in the first week
= 4 u + 1 u
= 5 u
= 5 x 154
= $770
Total amount of money raised in 2 weeks by the two clubs
= 770 + 302 + 305
= $1377
Answer(s): $1377
