A fund-raising project lasted 2 weeks. In the first week, School K raised 5 times as much money as School L. ln the second week, School K raised another $227 while School L raised another $237. The total amount raised by School K was thrice as much money as the total amount raised by School L. What was the total amount of money raised by the two schools?
| |
School K
(1) |
School L
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 227 |
+ 237 |
+ 711 |
| After |
3 p |
1 p |
3 p |
5 u + 227 =
3 p --- (1)
1 u + 237 = 1 p --- (2)
(2)
x3
3 u + 711 =
3 p --- (3)
(1) = (3)
5 u + 227 = 3 u + 711
5 u - 3 u = 711 - 227
2 u = 484
1 u = 484 ÷ 2 = 242
Total amount raised by both schools in the first week
= 5 u + 1 u
= 6 u
= 6 x 242
= $1452
Total amount of money raised in 2 weeks by the two schools
= 1452 + 227 + 237
= $1916
Answer(s): $1916
