A charity drive lasted 2 weeks. In the first week, Class F raised 5 times as much money as Class G. ln the second week, Class F raised another $403 while Class G raised another $309. The total amount raised by Class F was thrice as much money as the total amount raised by Class G. What was the total amount of money raised by the two classes?
| |
Class F
(1) |
Class G
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 403 |
+ 309 |
+ 927 |
| After |
3 p |
1 p |
3 p |
5 u + 403 =
3 p --- (1)
1 u + 309 = 1 p --- (2)
(2)
x3
3 u + 927 =
3 p --- (3)
(1) = (3)
5 u + 403 = 3 u + 927
5 u - 3 u = 927 - 403
2 u = 524
1 u = 524 ÷ 2 = 262
Total amount raised by both classes in the first week
= 5 u + 1 u
= 6 u
= 6 x 262
= $1572
Total amount of money raised in 2 weeks by the two classes
= 1572 + 403 + 309
= $2284
Answer(s): $2284
