A charity drive lasted 2 weeks. In the first week, School X raised 4 times as much money as School Y. ln the second week, School X raised another $242 while School Y raised another $188. The total amount raised by School X was twice as much money as the total amount raised by School Y. What was the total amount of money raised by the two schools?
|
School X (1) |
School Y (2) |
Make p the same. (2)x2 = (3) |
Before |
4 u |
1 u |
2 u |
Change |
+ 242 |
+ 188 |
+ 376 |
After |
2 p |
1 p |
2 p |
4 u + 242 =
2 p --- (1)
1 u + 188 = 1 p --- (2)
(2)
x2
2 u + 376 =
2 p --- (3)
(1) = (3)
4 u + 242 = 2 u + 376
4 u - 2 u = 376 - 242
2 u = 134
1 u = 134 ÷ 2 = 67
Total amount raised by both schools in the first week
= 4 u + 1 u
= 5 u
= 5 x 67
= $335
Total amount of money raised in 2 weeks by the two schools
= 335 + 242 + 188
= $765
Answer(s): $765