A donation drive lasted 2 weeks. In the first week, Club R raised 5 times as much money as Club S. ln the second week, Club R raised another $266 while Club S raised another $268. The total amount raised by Club R was thrice 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)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 266 |
+ 268 |
+ 804 |
| After |
3 p |
1 p |
3 p |
5 u + 266 =
3 p --- (1)
1 u + 268 = 1 p --- (2)
(2)
x3
3 u + 804 =
3 p --- (3)
(1) = (3)
5 u + 266 = 3 u + 804
5 u - 3 u = 804 - 266
2 u = 538
1 u = 538 ÷ 2 = 269
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 269
= $1614
Total amount of money raised in 2 weeks by the two clubs
= 1614 + 266 + 268
= $2148
Answer(s): $2148
