A donation drive lasted 2 weeks. In the first week, Group S raised 4 times as much money as Group T. ln the second week, Group S raised another $422 while Group T raised another $360. The total amount raised by Group S was twice as much money as the total amount raised by Group T. What was the total amount of money raised by the two groups?
|
Group S (1) |
Group T (2) |
Make p the same. (2)x2 = (3) |
Before |
4 u |
1 u |
2 u |
Change |
+ 422 |
+ 360 |
+ 720 |
After |
2 p |
1 p |
2 p |
4 u + 422 =
2 p --- (1)
1 u + 360 = 1 p --- (2)
(2)
x2
2 u + 720 =
2 p --- (3)
(1) = (3)
4 u + 422 = 2 u + 720
4 u - 2 u = 720 - 422
2 u = 298
1 u = 298 ÷ 2 = 149
Total amount raised by both groups in the first week
= 4 u + 1 u
= 5 u
= 5 x 149
= $745
Total amount of money raised in 2 weeks by the two groups
= 745 + 422 + 360
= $1527
Answer(s): $1527