A fund-raising project lasted 2 weeks. In the first week, School M raised 5 times as much money as School N. ln the second week, School M raised another $488 while School N raised another $372. The total amount raised by School M was thrice as much money as the total amount raised by School N. What was the total amount of money raised by the two schools?
| |
School M
(1) |
School N
(2) |
Make p the same.
(2)x3 = (3) |
| Before |
5 u |
1 u |
3 u |
| Change |
+ 488 |
+ 372 |
+ 1116 |
| After |
3 p |
1 p |
3 p |
5 u + 488 =
3 p --- (1)
1 u + 372 = 1 p --- (2)
(2)
x3
3 u + 1116 =
3 p --- (3)
(1) = (3)
5 u + 488 = 3 u + 1116
5 u - 3 u = 1116 - 488
2 u = 628
1 u = 628 ÷ 2 = 314
Total amount raised by both schools in the first week
= 5 u + 1 u
= 6 u
= 6 x 314
= $1884
Total amount of money raised in 2 weeks by the two schools
= 1884 + 488 + 372
= $2744
Answer(s): $2744
