A fund-raising project lasted 2 weeks. In the first week, Class N raised 4 times as much money as Class P. ln the second week, Class N raised another $378 while Class P raised another $318. The total amount raised by Class N was twice as much money as the total amount raised by Class P. What was the total amount of money raised by the two classes?
| |
Class N
(1) |
Class P
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 378 |
+ 318 |
+ 636 |
| After |
2 p |
1 p |
2 p |
4 u + 378 =
2 p --- (1)
1 u + 318 = 1 p --- (2)
(2)
x2
2 u + 636 =
2 p --- (3)
(1) = (3)
4 u + 378 = 2 u + 636
4 u - 2 u = 636 - 378
2 u = 258
1 u = 258 ÷ 2 = 129
Total amount raised by both classes in the first week
= 4 u + 1 u
= 5 u
= 5 x 129
= $645
Total amount of money raised in 2 weeks by the two classes
= 645 + 378 + 318
= $1341
Answer(s): $1341
