A charity drive lasted 2 weeks. In the first week, Club B raised 5 times as much money as Club C. ln the second week, Club B raised another $351 while Club C raised another $371. The total amount raised by Club B was thrice as much money as the total amount raised by Club C. What was the total amount of money raised by the two clubs?
| |
Club B
(1) |
Club C
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 351 |
+ 371 |
+ 1113 |
| After |
3 p |
1 p |
3 p |
5 u + 351 =
3 p --- (1)
1 u + 371 = 1 p --- (2)
(2)
x3
3 u + 1113 =
3 p --- (3)
(1) = (3)
5 u + 351 = 3 u + 1113
5 u - 3 u = 1113 - 351
2 u = 762
1 u = 762 ÷ 2 = 381
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 381
= $2286
Total amount of money raised in 2 weeks by the two clubs
= 2286 + 351 + 371
= $3008
Answer(s): $3008
