A donation drive lasted 2 weeks. In the first week, Team S raised 4 times as much money as Team T. ln the second week, Team S raised another $412 while Team T raised another $290. The total amount raised by Team S was twice as much money as the total amount raised by Team T. What was the total amount of money raised by the two teams?
|
Team S (1) |
Team T (2) |
Make p the same. (2)x2 = (3) |
Before |
4 u |
1 u |
2 u |
Change |
+ 412 |
+ 290 |
+ 580 |
After |
2 p |
1 p |
2 p |
4 u + 412 =
2 p --- (1)
1 u + 290 = 1 p --- (2)
(2)
x2
2 u + 580 =
2 p --- (3)
(1) = (3)
4 u + 412 = 2 u + 580
4 u - 2 u = 580 - 412
2 u = 168
1 u = 168 ÷ 2 = 84
Total amount raised by both teams in the first week
= 4 u + 1 u
= 5 u
= 5 x 84
= $420
Total amount of money raised in 2 weeks by the two teams
= 420 + 412 + 290
= $1122
Answer(s): $1122