A fund-raising project lasted 2 weeks. In the first week, Class P raised 4 times as much money as Class Q. ln the second week, Class P raised another $406 while Class Q raised another $366. The total amount raised by Class P was twice as much money as the total amount raised by Class Q. What was the total amount of money raised by the two classes?
| |
Class P
(1) |
Class Q
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 406 |
+ 366 |
+ 732 |
| After |
2 p |
1 p |
2 p |
4 u + 406 =
2 p --- (1)
1 u + 366 = 1 p --- (2)
(2)
x2
2 u + 732 =
2 p --- (3)
(1) = (3)
4 u + 406 = 2 u + 732
4 u - 2 u = 732 - 406
2 u = 326
1 u = 326 ÷ 2 = 163
Total amount raised by both classes in the first week
= 4 u + 1 u
= 5 u
= 5 x 163
= $815
Total amount of money raised in 2 weeks by the two classes
= 815 + 406 + 366
= $1587
Answer(s): $1587
