A donation 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 $352 while Group T raised another $318. 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 |
+ 352 |
+ 318 |
+ 954 |
After |
3 p |
1 p |
3 p |
5 u + 352 =
3 p --- (1)
1 u + 318 = 1 p --- (2)
(2)
x3
3 u + 954 =
3 p --- (3)
(1) = (3)
5 u + 352 = 3 u + 954
5 u - 3 u = 954 - 352
2 u = 602
1 u = 602 ÷ 2 = 301
Total amount raised by both groups in the first week
= 5 u + 1 u
= 6 u
= 6 x 301
= $1806
Total amount of money raised in 2 weeks by the two groups
= 1806 + 352 + 318
= $2476
Answer(s): $2476