A fund-raising project lasted 2 weeks. In the first week, School Y raised 5 times as much money as School Z. ln the second week, School Y raised another $216 while School Z raised another $126. The total amount raised by School Y was twice as much money as the total amount raised by School Z. What was the total amount of money raised by the two schools?
| |
School Y
(1) |
School Z
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
5 u |
1 u |
2 u |
| Change |
+ 216 |
+ 126 |
+ 252 |
| After |
2 p |
1 p |
2 p |
5 u + 216 =
2 p --- (1)
1 u + 126 = 1 p --- (2)
(2)
x2
2 u + 252 =
2 p --- (3)
(1) = (3)
5 u + 216 = 2 u + 252
5 u - 2 u = 252 - 216
3 u = 36
1 u = 36 ÷ 3 = 12
Total amount raised by both schools in the first week
= 5 u + 1 u
= 6 u
= 6 x 12
= $72
Total amount of money raised in 2 weeks by the two schools
= 72 + 216 + 126
= $414
Answer(s): $414
