A charity drive lasted 2 weeks. In the first week, Class N raised 5 times as much money as Class P. ln the second week, Class N raised another $235 while Class P raised another $393. The total amount raised by Class N was thrice 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)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 235 |
+ 393 |
+ 1179 |
| After |
3 p |
1 p |
3 p |
5 u + 235 =
3 p --- (1)
1 u + 393 = 1 p --- (2)
(2)
x3
3 u + 1179 =
3 p --- (3)
(1) = (3)
5 u + 235 = 3 u + 1179
5 u - 3 u = 1179 - 235
2 u = 944
1 u = 944 ÷ 2 = 472
Total amount raised by both classes in the first week
= 5 u + 1 u
= 6 u
= 6 x 472
= $2832
Total amount of money raised in 2 weeks by the two classes
= 2832 + 235 + 393
= $3460
Answer(s): $3460
