A donation drive lasted 2 weeks. In the first week, Class C raised 5 times as much money as Class D. ln the second week, Class C raised another $227 while Class D raised another $289. The total amount raised by Class C was thrice as much money as the total amount raised by Class D. What was the total amount of money raised by the two classes?
|
Class C (1) |
Class D (2) |
Make p the same. (2)x3 = (3) |
Before |
5 u |
1 u |
3 u |
Change |
+ 227 |
+ 289 |
+ 867 |
After |
3 p |
1 p |
3 p |
5 u + 227 =
3 p --- (1)
1 u + 289 = 1 p --- (2)
(2)
x3
3 u + 867 =
3 p --- (3)
(1) = (3)
5 u + 227 = 3 u + 867
5 u - 3 u = 867 - 227
2 u = 640
1 u = 640 ÷ 2 = 320
Total amount raised by both classes in the first week
= 5 u + 1 u
= 6 u
= 6 x 320
= $1920
Total amount of money raised in 2 weeks by the two classes
= 1920 + 227 + 289
= $2436
Answer(s): $2436