A charity drive lasted 2 weeks. In the first week, Class T raised 5 times as much money as Class U. ln the second week, Class T raised another $251 while Class U raised another $311. The total amount raised by Class T was thrice as much money as the total amount raised by Class U. What was the total amount of money raised by the two classes?
| |
Class T
(1) |
Class U
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 251 |
+ 311 |
+ 933 |
| After |
3 p |
1 p |
3 p |
5 u + 251 =
3 p --- (1)
1 u + 311 = 1 p --- (2)
(2)
x3
3 u + 933 =
3 p --- (3)
(1) = (3)
5 u + 251 = 3 u + 933
5 u - 3 u = 933 - 251
2 u = 682
1 u = 682 ÷ 2 = 341
Total amount raised by both classes in the first week
= 5 u + 1 u
= 6 u
= 6 x 341
= $2046
Total amount of money raised in 2 weeks by the two classes
= 2046 + 251 + 311
= $2608
Answer(s): $2608
