A donation drive lasted 2 weeks. In the first week, Team M raised 5 times as much money as Team N. ln the second week, Team M raised another $201 while Team N raised another $264. The total amount raised by Team M was twice as much money as the total amount raised by Team N. What was the total amount of money raised by the two teams?
| |
Team M
(1) |
Team N
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
5 u |
1 u |
2 u |
| Change |
+ 201 |
+ 264 |
+ 528 |
| After |
2 p |
1 p |
2 p |
5 u + 201 =
2 p --- (1)
1 u + 264 = 1 p --- (2)
(2)
x2
2 u + 528 =
2 p --- (3)
(1) = (3)
5 u + 201 = 2 u + 528
5 u - 2 u = 528 - 201
3 u = 327
1 u = 327 ÷ 3 = 109
Total amount raised by both teams in the first week
= 5 u + 1 u
= 6 u
= 6 x 109
= $654
Total amount of money raised in 2 weeks by the two teams
= 654 + 201 + 264
= $1119
Answer(s): $1119
