A fund-raising project lasted 2 weeks. In the first week, Team C raised 4 times as much money as Team D. ln the second week, Team C raised another $410 while Team D raised another $316. The total amount raised by Team C was twice as much money as the total amount raised by Team D. What was the total amount of money raised by the two teams?
| |
Team C
(1) |
Team D
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 410 |
+ 316 |
+ 632 |
| After |
2 p |
1 p |
2 p |
4 u + 410 =
2 p --- (1)
1 u + 316 = 1 p --- (2)
(2)
x2
2 u + 632 =
2 p --- (3)
(1) = (3)
4 u + 410 = 2 u + 632
4 u - 2 u = 632 - 410
2 u = 222
1 u = 222 ÷ 2 = 111
Total amount raised by both teams in the first week
= 4 u + 1 u
= 5 u
= 5 x 111
= $555
Total amount of money raised in 2 weeks by the two teams
= 555 + 410 + 316
= $1281
Answer(s): $1281
