A charity drive lasted 2 weeks. In the first week, Team P raised 5 times as much money as Team Q. ln the second week, Team P raised another $358 while Team Q raised another $212. The total amount raised by Team P was twice as much money as the total amount raised by Team Q. What was the total amount of money raised by the two teams?
| |
Team P
(1) |
Team Q
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
5 u |
1 u |
2 u |
| Change |
+ 358 |
+ 212 |
+ 424 |
| After |
2 p |
1 p |
2 p |
5 u + 358 =
2 p --- (1)
1 u + 212 = 1 p --- (2)
(2)
x2
2 u + 424 =
2 p --- (3)
(1) = (3)
5 u + 358 = 2 u + 424
5 u - 2 u = 424 - 358
3 u = 66
1 u = 66 ÷ 3 = 22
Total amount raised by both teams in the first week
= 5 u + 1 u
= 6 u
= 6 x 22
= $132
Total amount of money raised in 2 weeks by the two teams
= 132 + 358 + 212
= $702
Answer(s): $702
