A fund-raising project lasted 2 weeks. In the first week, Team K raised 4 times as much money as Team L. ln the second week, Team K raised another $290 while Team L raised another $157. The total amount raised by Team K was twice as much money as the total amount raised by Team L. What was the total amount of money raised by the two teams?
| |
Team K
(1) |
Team L
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 290 |
+ 157 |
+ 314 |
| After |
2 p |
1 p |
2 p |
4 u + 290 =
2 p --- (1)
1 u + 157 = 1 p --- (2)
(2)
x2
2 u + 314 =
2 p --- (3)
(1) = (3)
4 u + 290 = 2 u + 314
4 u - 2 u = 314 - 290
2 u = 24
1 u = 24 ÷ 2 = 12
Total amount raised by both teams in the first week
= 4 u + 1 u
= 5 u
= 5 x 12
= $60
Total amount of money raised in 2 weeks by the two teams
= 60 + 290 + 157
= $507
Answer(s): $507
