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 $360 while Class T raised another $302. 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 |
+ 360 |
+ 302 |
+ 906 |
After |
3 p |
1 p |
3 p |
5 u + 360 =
3 p --- (1)
1 u + 302 = 1 p --- (2)
(2)
x3
3 u + 906 =
3 p --- (3)
(1) = (3)
5 u + 360 = 3 u + 906
5 u - 3 u = 906 - 360
2 u = 546
1 u = 546 ÷ 2 = 273
Total amount raised by both classes in the first week
= 5 u + 1 u
= 6 u
= 6 x 273
= $1638
Total amount of money raised in 2 weeks by the two classes
= 1638 + 360 + 302
= $2300
Answer(s): $2300