A fund-raising project lasted 2 weeks. In the first week, Club S raised 5 times as much money as Club T. ln the second week, Club S raised another $220 while Club T raised another $144. The total amount raised by Club S was thrice as much money as the total amount raised by Club T. What was the total amount of money raised by the two clubs?
| |
Club S
(1) |
Club T
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 220 |
+ 144 |
+ 432 |
| After |
3 p |
1 p |
3 p |
5 u + 220 =
3 p --- (1)
1 u + 144 = 1 p --- (2)
(2)
x3
3 u + 432 =
3 p --- (3)
(1) = (3)
5 u + 220 = 3 u + 432
5 u - 3 u = 432 - 220
2 u = 212
1 u = 212 ÷ 2 = 106
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 106
= $636
Total amount of money raised in 2 weeks by the two clubs
= 636 + 220 + 144
= $1000
Answer(s): $1000
