A donation drive lasted 2 weeks. In the first week, School G raised 4 times as much money as School H. ln the second week, School G raised another $304 while School H raised another $218. The total amount raised by School G was twice as much money as the total amount raised by School H. What was the total amount of money raised by the two schools?
| |
School G
(1) |
School H
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 304 |
+ 218 |
+ 436 |
| After |
2 p |
1 p |
2 p |
4 u + 304 =
2 p --- (1)
1 u + 218 = 1 p --- (2)
(2)
x2
2 u + 436 =
2 p --- (3)
(1) = (3)
4 u + 304 = 2 u + 436
4 u - 2 u = 436 - 304
2 u = 132
1 u = 132 ÷ 2 = 66
Total amount raised by both schools in the first week
= 4 u + 1 u
= 5 u
= 5 x 66
= $330
Total amount of money raised in 2 weeks by the two schools
= 330 + 304 + 218
= $852
Answer(s): $852
