A charity drive lasted 2 weeks. In the first week, Team P raised 4 times as much money as Team Q. ln the second week, Team P raised another $294 while Team Q raised another $369. 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 |
4 u |
1 u |
2 u |
| Change |
+ 294 |
+ 369 |
+ 738 |
| After |
2 p |
1 p |
2 p |
4 u + 294 =
2 p --- (1)
1 u + 369 = 1 p --- (2)
(2)
x2
2 u + 738 =
2 p --- (3)
(1) = (3)
4 u + 294 = 2 u + 738
4 u - 2 u = 738 - 294
2 u = 444
1 u = 444 ÷ 2 = 222
Total amount raised by both teams in the first week
= 4 u + 1 u
= 5 u
= 5 x 222
= $1110
Total amount of money raised in 2 weeks by the two teams
= 1110 + 294 + 369
= $1773
Answer(s): $1773
