A fund-raising project lasted 2 weeks. In the first week, Team R raised 4 times as much money as Team S. ln the second week, Team R raised another $250 while Team S raised another $357. The total amount raised by Team R was twice as much money as the total amount raised by Team S. What was the total amount of money raised by the two teams?
| |
Team R
(1) |
Team S
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 250 |
+ 357 |
+ 714 |
| After |
2 p |
1 p |
2 p |
4 u + 250 =
2 p --- (1)
1 u + 357 = 1 p --- (2)
(2)
x2
2 u + 714 =
2 p --- (3)
(1) = (3)
4 u + 250 = 2 u + 714
4 u - 2 u = 714 - 250
2 u = 464
1 u = 464 ÷ 2 = 232
Total amount raised by both teams in the first week
= 4 u + 1 u
= 5 u
= 5 x 232
= $1160
Total amount of money raised in 2 weeks by the two teams
= 1160 + 250 + 357
= $1767
Answer(s): $1767
