A charity drive lasted 2 weeks. In the first week, Club E raised 5 times as much money as Club F. ln the second week, Club E raised another $386 while Club F raised another $240. The total amount raised by Club E was thrice as much money as the total amount raised by Club F. What was the total amount of money raised by the two clubs?
| |
Club E
(1) |
Club F
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 386 |
+ 240 |
+ 720 |
| After |
3 p |
1 p |
3 p |
5 u + 386 =
3 p --- (1)
1 u + 240 = 1 p --- (2)
(2)
x3
3 u + 720 =
3 p --- (3)
(1) = (3)
5 u + 386 = 3 u + 720
5 u - 3 u = 720 - 386
2 u = 334
1 u = 334 ÷ 2 = 167
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 167
= $1002
Total amount of money raised in 2 weeks by the two clubs
= 1002 + 386 + 240
= $1628
Answer(s): $1628
