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 $324 while Group N raised another $181. 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 |
+ 324 |
+ 181 |
+ 362 |
| After |
2 p |
1 p |
2 p |
4 u + 324 =
2 p --- (1)
1 u + 181 = 1 p --- (2)
(2)
x2
2 u + 362 =
2 p --- (3)
(1) = (3)
4 u + 324 = 2 u + 362
4 u - 2 u = 362 - 324
2 u = 38
1 u = 38 ÷ 2 = 19
Total amount raised by both groups in the first week
= 4 u + 1 u
= 5 u
= 5 x 19
= $95
Total amount of money raised in 2 weeks by the two groups
= 95 + 324 + 181
= $600
Answer(s): $600
