A fund-raising project lasted 2 weeks. In the first week, School H raised 5 times as much money as School J. ln the second week, School H raised another $230 while School J raised another $190. The total amount raised by School H was twice as much money as the total amount raised by School J. What was the total amount of money raised by the two schools?
|
School H (1) |
School J (2) |
Make p the same. (2)x2 = (3) |
Before |
5 u |
1 u |
2 u |
Change |
+ 230 |
+ 190 |
+ 380 |
After |
2 p |
1 p |
2 p |
5 u + 230 =
2 p --- (1)
1 u + 190 = 1 p --- (2)
(2)
x2
2 u + 380 =
2 p --- (3)
(1) = (3)
5 u + 230 = 2 u + 380
5 u - 2 u = 380 - 230
3 u = 150
1 u = 150 ÷ 3 = 50
Total amount raised by both schools in the first week
= 5 u + 1 u
= 6 u
= 6 x 50
= $300
Total amount of money raised in 2 weeks by the two schools
= 300 + 230 + 190
= $720
Answer(s): $720