A fund-raising project 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 $205 while Group T raised another $385. The total amount raised by Group S was thrice 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)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 205 |
+ 385 |
+ 1155 |
| After |
3 p |
1 p |
3 p |
5 u + 205 =
3 p --- (1)
1 u + 385 = 1 p --- (2)
(2)
x3
3 u + 1155 =
3 p --- (3)
(1) = (3)
5 u + 205 = 3 u + 1155
5 u - 3 u = 1155 - 205
2 u = 950
1 u = 950 ÷ 2 = 475
Total amount raised by both groups in the first week
= 5 u + 1 u
= 6 u
= 6 x 475
= $2850
Total amount of money raised in 2 weeks by the two groups
= 2850 + 205 + 385
= $3440
Answer(s): $3440
