A fund-raising project lasted 2 weeks. In the first week, Group M raised 4 times as much money as Group N. ln the second week, Group M raised another $270 while Group N raised another $299. The total amount raised by Group M was twice as much money as the total amount raised by Group N. What was the total amount of money raised by the two groups?
|
Group M (1) |
Group N (2) |
Make p the same. (2)x2 = (3) |
Before |
4 u |
1 u |
2 u |
Change |
+ 270 |
+ 299 |
+ 598 |
After |
2 p |
1 p |
2 p |
4 u + 270 =
2 p --- (1)
1 u + 299 = 1 p --- (2)
(2)
x2
2 u + 598 =
2 p --- (3)
(1) = (3)
4 u + 270 = 2 u + 598
4 u - 2 u = 598 - 270
2 u = 328
1 u = 328 ÷ 2 = 164
Total amount raised by both groups in the first week
= 4 u + 1 u
= 5 u
= 5 x 164
= $820
Total amount of money raised in 2 weeks by the two groups
= 820 + 270 + 299
= $1389
Answer(s): $1389