A charity drive lasted 2 weeks. In the first week, Group S raised 5 times as much money as Group T. ln the second week, Group S raised another $246 while Group T raised another $396. 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 |
5 u |
1 u |
2 u |
| Change |
+ 246 |
+ 396 |
+ 792 |
| After |
2 p |
1 p |
2 p |
5 u + 246 =
2 p --- (1)
1 u + 396 = 1 p --- (2)
(2)
x2
2 u + 792 =
2 p --- (3)
(1) = (3)
5 u + 246 = 2 u + 792
5 u - 2 u = 792 - 246
3 u = 546
1 u = 546 ÷ 3 = 182
Total amount raised by both groups in the first week
= 5 u + 1 u
= 6 u
= 6 x 182
= $1092
Total amount of money raised in 2 weeks by the two groups
= 1092 + 246 + 396
= $1734
Answer(s): $1734
