A donation drive lasted 2 weeks. In the first week, School N raised 5 times as much money as School P. ln the second week, School N raised another $222 while School P raised another $339. The total amount raised by School N was twice as much money as the total amount raised by School P. What was the total amount of money raised by the two schools?
|
School N (1) |
School P (2) |
Make p the same. (2)x2 = (3) |
Before |
5 u |
1 u |
2 u |
Change |
+ 222 |
+ 339 |
+ 678 |
After |
2 p |
1 p |
2 p |
5 u + 222 =
2 p --- (1)
1 u + 339 = 1 p --- (2)
(2)
x2
2 u + 678 =
2 p --- (3)
(1) = (3)
5 u + 222 = 2 u + 678
5 u - 2 u = 678 - 222
3 u = 456
1 u = 456 ÷ 3 = 152
Total amount raised by both schools in the first week
= 5 u + 1 u
= 6 u
= 6 x 152
= $912
Total amount of money raised in 2 weeks by the two schools
= 912 + 222 + 339
= $1473
Answer(s): $1473