A fund-raising project lasted 2 weeks. In the first week, Team S raised 4 times as much money as Team T. ln the second week, Team S raised another $456 while Team T raised another $347. The total amount raised by Team S was twice as much money as the total amount raised by Team T. What was the total amount of money raised by the two teams?
| |
Team S
(1) |
Team T
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 456 |
+ 347 |
+ 694 |
| After |
2 p |
1 p |
2 p |
4 u + 456 =
2 p --- (1)
1 u + 347 = 1 p --- (2)
(2)
x2
2 u + 694 =
2 p --- (3)
(1) = (3)
4 u + 456 = 2 u + 694
4 u - 2 u = 694 - 456
2 u = 238
1 u = 238 ÷ 2 = 119
Total amount raised by both teams in the first week
= 4 u + 1 u
= 5 u
= 5 x 119
= $595
Total amount of money raised in 2 weeks by the two teams
= 595 + 456 + 347
= $1398
Answer(s): $1398
