A charity drive lasted 2 weeks. In the first week, Team J raised 4 times as much money as Team K. ln the second week, Team J raised another $448 while Team K raised another $310. The total amount raised by Team J was twice as much money as the total amount raised by Team K. What was the total amount of money raised by the two teams?
| |
Team J
(1) |
Team K
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 448 |
+ 310 |
+ 620 |
| After |
2 p |
1 p |
2 p |
4 u + 448 =
2 p --- (1)
1 u + 310 = 1 p --- (2)
(2)
x2
2 u + 620 =
2 p --- (3)
(1) = (3)
4 u + 448 = 2 u + 620
4 u - 2 u = 620 - 448
2 u = 172
1 u = 172 ÷ 2 = 86
Total amount raised by both teams in the first week
= 4 u + 1 u
= 5 u
= 5 x 86
= $430
Total amount of money raised in 2 weeks by the two teams
= 430 + 448 + 310
= $1188
Answer(s): $1188
