A donation drive lasted 2 weeks. In the first week, School P raised 5 times as much money as School Q. ln the second week, School P raised another $218 while School Q raised another $157. The total amount raised by School P was twice as much money as the total amount raised by School Q. What was the total amount of money raised by the two schools?
| |
School P
(1) |
School Q
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
5 u |
1 u |
2 u |
| Change |
+ 218 |
+ 157 |
+ 314 |
| After |
2 p |
1 p |
2 p |
5 u + 218 =
2 p --- (1)
1 u + 157 = 1 p --- (2)
(2)
x2
2 u + 314 =
2 p --- (3)
(1) = (3)
5 u + 218 = 2 u + 314
5 u - 2 u = 314 - 218
3 u = 96
1 u = 96 ÷ 3 = 32
Total amount raised by both schools in the first week
= 5 u + 1 u
= 6 u
= 6 x 32
= $192
Total amount of money raised in 2 weeks by the two schools
= 192 + 218 + 157
= $567
Answer(s): $567
