A fund-raising project 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 $219 while Club S raised another $369. 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 |
5 u |
1 u |
2 u |
| Change |
+ 219 |
+ 369 |
+ 738 |
| After |
2 p |
1 p |
2 p |
5 u + 219 =
2 p --- (1)
1 u + 369 = 1 p --- (2)
(2)
x2
2 u + 738 =
2 p --- (3)
(1) = (3)
5 u + 219 = 2 u + 738
5 u - 2 u = 738 - 219
3 u = 519
1 u = 519 ÷ 3 = 173
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 173
= $1038
Total amount of money raised in 2 weeks by the two clubs
= 1038 + 219 + 369
= $1626
Answer(s): $1626
