A charity drive 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 $460 while Team L raised another $340. 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 |
+ 460 |
+ 340 |
+ 1020 |
| After |
3 p |
1 p |
3 p |
5 u + 460 =
3 p --- (1)
1 u + 340 = 1 p --- (2)
(2)
x3
3 u + 1020 =
3 p --- (3)
(1) = (3)
5 u + 460 = 3 u + 1020
5 u - 3 u = 1020 - 460
2 u = 560
1 u = 560 ÷ 2 = 280
Total amount raised by both teams in the first week
= 5 u + 1 u
= 6 u
= 6 x 280
= $1680
Total amount of money raised in 2 weeks by the two teams
= 1680 + 460 + 340
= $2480
Answer(s): $2480
