A fund-raising project lasted 2 weeks. In the first week, Team F raised 5 times as much money as Team G. ln the second week, Team F raised another $439 while Team G raised another $159. The total amount raised by Team F was thrice as much money as the total amount raised by Team G. What was the total amount of money raised by the two teams?
| |
Team F
(1) |
Team G
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 439 |
+ 159 |
+ 477 |
| After |
3 p |
1 p |
3 p |
5 u + 439 =
3 p --- (1)
1 u + 159 = 1 p --- (2)
(2)
x3
3 u + 477 =
3 p --- (3)
(1) = (3)
5 u + 439 = 3 u + 477
5 u - 3 u = 477 - 439
2 u = 38
1 u = 38 ÷ 2 = 19
Total amount raised by both teams in the first week
= 5 u + 1 u
= 6 u
= 6 x 19
= $114
Total amount of money raised in 2 weeks by the two teams
= 114 + 439 + 159
= $712
Answer(s): $712
