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 $448 while School J raised another $314. The total amount raised by School H was thrice 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)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 448 |
+ 314 |
+ 942 |
| After |
3 p |
1 p |
3 p |
5 u + 448 =
3 p --- (1)
1 u + 314 = 1 p --- (2)
(2)
x3
3 u + 942 =
3 p --- (3)
(1) = (3)
5 u + 448 = 3 u + 942
5 u - 3 u = 942 - 448
2 u = 494
1 u = 494 ÷ 2 = 247
Total amount raised by both schools in the first week
= 5 u + 1 u
= 6 u
= 6 x 247
= $1482
Total amount of money raised in 2 weeks by the two schools
= 1482 + 448 + 314
= $2244
Answer(s): $2244
