A donation drive lasted 2 weeks. In the first week, Class P raised 5 times as much money as Class Q. ln the second week, Class P raised another $251 while Class Q raised another $123. The total amount raised by Class P was thrice as much money as the total amount raised by Class Q. What was the total amount of money raised by the two classes?
| |
Class P
(1) |
Class Q
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 251 |
+ 123 |
+ 369 |
| After |
3 p |
1 p |
3 p |
5 u + 251 =
3 p --- (1)
1 u + 123 = 1 p --- (2)
(2)
x3
3 u + 369 =
3 p --- (3)
(1) = (3)
5 u + 251 = 3 u + 369
5 u - 3 u = 369 - 251
2 u = 118
1 u = 118 ÷ 2 = 59
Total amount raised by both classes in the first week
= 5 u + 1 u
= 6 u
= 6 x 59
= $354
Total amount of money raised in 2 weeks by the two classes
= 354 + 251 + 123
= $728
Answer(s): $728
