A fund-raising project lasted 2 weeks. In the first week, School D raised 4 times as much money as School E. ln the second week, School D raised another $396 while School E raised another $313. The total amount raised by School D was twice as much money as the total amount raised by School E. What was the total amount of money raised by the two schools?
| |
School D
(1) |
School E
(2) |
Make p the same.
(2)x2 = (3) |
| Before |
4 u |
1 u |
2 u |
| Change |
+ 396 |
+ 313 |
+ 626 |
| After |
2 p |
1 p |
2 p |
4 u + 396 =
2 p --- (1)
1 u + 313 = 1 p --- (2)
(2)
x2
2 u + 626 =
2 p --- (3)
(1) = (3)
4 u + 396 = 2 u + 626
4 u - 2 u = 626 - 396
2 u = 230
1 u = 230 ÷ 2 = 115
Total amount raised by both schools in the first week
= 4 u + 1 u
= 5 u
= 5 x 115
= $575
Total amount of money raised in 2 weeks by the two schools
= 575 + 396 + 313
= $1284
Answer(s): $1284
