A fund-raising project lasted 2 weeks. In the first week, School S raised 5 times as much money as School T. ln the second week, School S raised another $301 while School T raised another $195. The total amount raised by School S was thrice as much money as the total amount raised by School T. What was the total amount of money raised by the two schools?
| |
School S
(1) |
School T
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 301 |
+ 195 |
+ 585 |
| After |
3 p |
1 p |
3 p |
5 u + 301 =
3 p --- (1)
1 u + 195 = 1 p --- (2)
(2)
x3
3 u + 585 =
3 p --- (3)
(1) = (3)
5 u + 301 = 3 u + 585
5 u - 3 u = 585 - 301
2 u = 284
1 u = 284 ÷ 2 = 142
Total amount raised by both schools in the first week
= 5 u + 1 u
= 6 u
= 6 x 142
= $852
Total amount of money raised in 2 weeks by the two schools
= 852 + 301 + 195
= $1348
Answer(s): $1348
