A donation drive lasted 2 weeks. In the first week, Class Q raised 5 times as much money as Class R. ln the second week, Class Q raised another $452 while Class R raised another $264. The total amount raised by Class Q was thrice as much money as the total amount raised by Class R. What was the total amount of money raised by the two classes?
| |
Class Q
(1) |
Class R
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 452 |
+ 264 |
+ 792 |
| After |
3 p |
1 p |
3 p |
5 u + 452 =
3 p --- (1)
1 u + 264 = 1 p --- (2)
(2)
x3
3 u + 792 =
3 p --- (3)
(1) = (3)
5 u + 452 = 3 u + 792
5 u - 3 u = 792 - 452
2 u = 340
1 u = 340 ÷ 2 = 170
Total amount raised by both classes in the first week
= 5 u + 1 u
= 6 u
= 6 x 170
= $1020
Total amount of money raised in 2 weeks by the two classes
= 1020 + 452 + 264
= $1736
Answer(s): $1736
