A charity drive lasted 2 weeks. In the first week, Class S raised 5 times as much money as Class T. ln the second week, Class S raised another $340 while Class T raised another $276. The total amount raised by Class S was thrice as much money as the total amount raised by Class T. What was the total amount of money raised by the two classes?
| |
Class S
(1) |
Class T
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 340 |
+ 276 |
+ 828 |
| After |
3 p |
1 p |
3 p |
5 u + 340 =
3 p --- (1)
1 u + 276 = 1 p --- (2)
(2)
x3
3 u + 828 =
3 p --- (3)
(1) = (3)
5 u + 340 = 3 u + 828
5 u - 3 u = 828 - 340
2 u = 488
1 u = 488 ÷ 2 = 244
Total amount raised by both classes in the first week
= 5 u + 1 u
= 6 u
= 6 x 244
= $1464
Total amount of money raised in 2 weeks by the two classes
= 1464 + 340 + 276
= $2080
Answer(s): $2080
