The length of a piece of fabric is 8y yards. Landon cuts 7 yards from it to make some cushion covers. He then cuts another 3y yards to make a curtain. The remaining material is cut into 4 equal pieces. How long is each piece?
(5y-7)/4
5y-7/4
To find the length of each piece, we need to determine how much fabric is remaining after Landon cuts 7 yards to make the cushion covers and 3y yards to make the curtain.
Given that the original length of the fabric is 8y yards, Landon cuts 7 yards. Therefore, the remaining length of the fabric is 8y - 7 yards.
Next, Landon cuts another 3y yards to make the curtain. Thus, the remaining length of the fabric is (8y - 7) - (3y) yards.
Simplifying further, we have 8y - 7 - 3y = 5y - 7 yards.
Finally, Landon cuts the remaining fabric into 4 equal pieces. To find the length of each piece, we divide the remaining length of fabric by 4.
So, each piece would be (5y - 7) / 4 yards in length.
Where is he cutting the 3 yards from?
If it is from the 8 yds, that won't work because you have cut 7 yards first.
8y-7-3y-4=0
8y - 7 - 3y = 5y - 7
5y - 7 divided by 4 = 5y 7/4
Answer: 5y 7/4