A fund-raising project lasted 2 weeks. In the first week, Team K raised 5 times as much money as Team L. ln the second week, Team K raised another $476 while Team L raised another $198. The total amount raised by Team K was thrice 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)x3 = (3) |
Before |
5 u |
1 u |
3 u |
Change |
+ 476 |
+ 198 |
+ 594 |
After |
3 p |
1 p |
3 p |
5 u + 476 =
3 p --- (1)
1 u + 198 = 1 p --- (2)
(2)
x3
3 u + 594 =
3 p --- (3)
(1) = (3)
5 u + 476 = 3 u + 594
5 u - 3 u = 594 - 476
2 u = 118
1 u = 118 ÷ 2 = 59
Total amount raised by both teams in the first week
= 5 u + 1 u
= 6 u
= 6 x 59
= $354
Total amount of money raised in 2 weeks by the two teams
= 354 + 476 + 198
= $1028
Answer(s): $1028