A fund-raising project lasted 2 weeks. In the first week, Club D raised 5 times as much money as Club E. ln the second week, Club D raised another $315 while Club E raised another $337. The total amount raised by Club D was thrice as much money as the total amount raised by Club E. What was the total amount of money raised by the two clubs?
| |
Club D
(1) |
Club E
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 315 |
+ 337 |
+ 1011 |
| After |
3 p |
1 p |
3 p |
5 u + 315 =
3 p --- (1)
1 u + 337 = 1 p --- (2)
(2)
x3
3 u + 1011 =
3 p --- (3)
(1) = (3)
5 u + 315 = 3 u + 1011
5 u - 3 u = 1011 - 315
2 u = 696
1 u = 696 ÷ 2 = 348
Total amount raised by both clubs in the first week
= 5 u + 1 u
= 6 u
= 6 x 348
= $2088
Total amount of money raised in 2 weeks by the two clubs
= 2088 + 315 + 337
= $2740
Answer(s): $2740
