A fund-raising project lasted 2 weeks. In the first week, Club T raised 5 times as much money as Club U. ln the second week, Club T raised another $486 while Club U raised another $230. The total amount raised by Club T was thrice as much money as the total amount raised by Club U. What was the total amount of money raised by the two clubs?
| |
Club T
(1) |
Club U
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 486 |
+ 230 |
+ 690 |
| After |
3 p |
1 p |
3 p |
5 u + 486 =
3 p --- (1)
1 u + 230 = 1 p --- (2)
(2)
x3
3 u + 690 =
3 p --- (3)
(1) = (3)
5 u + 486 = 3 u + 690
5 u - 3 u = 690 - 486
2 u = 204
1 u = 204 ÷ 2 = 102
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 102
= $612
Total amount of money raised in 2 weeks by the two clubs
= 612 + 486 + 230
= $1328
Answer(s): $1328
