A donation drive lasted 2 weeks. In the first week, Class M raised 5 times as much money as Class N. ln the second week, Class M raised another $349 while Class N raised another $278. The total amount raised by Class M was twice as much money as the total amount raised by Class N. What was the total amount of money raised by the two classes?
| |
Class M
(1) |
Class N
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
5 u |
1 u |
2 u |
| Change |
+ 349 |
+ 278 |
+ 556 |
| After |
2 p |
1 p |
2 p |
5 u + 349 =
2 p --- (1)
1 u + 278 = 1 p --- (2)
(2)
x2
2 u + 556 =
2 p --- (3)
(1) = (3)
5 u + 349 = 2 u + 556
5 u - 2 u = 556 - 349
3 u = 207
1 u = 207 ÷ 3 = 69
Total amount raised by both classes in the first week
= 5 u + 1 u
= 6 u
= 6 x 69
= $414
Total amount of money raised in 2 weeks by the two classes
= 414 + 349 + 278
= $1041
Answer(s): $1041
