A fund-raising project 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 $357 while Class D raised another $291. 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 |
+ 357 |
+ 291 |
+ 873 |
| After |
3 p |
1 p |
3 p |
5 u + 357 =
3 p --- (1)
1 u + 291 = 1 p --- (2)
(2)
x3
3 u + 873 =
3 p --- (3)
(1) = (3)
5 u + 357 = 3 u + 873
5 u - 3 u = 873 - 357
2 u = 516
1 u = 516 ÷ 2 = 258
Total amount raised by both classes in the first week
= 5 u + 1 u
= 6 u
= 6 x 258
= $1548
Total amount of money raised in 2 weeks by the two classes
= 1548 + 357 + 291
= $2196
Answer(s): $2196
