Seamstress Jane has purchased 50 yards of red fabric and 110 yards of gold fabric to make red and gold curtains. What is the largest number of curtains she can make if she wants all the curtains to be exactly the same length, and to have no fabric left over? How many yards of each kind of fabric would be used for each curtain?
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Seamstress Jane has purchased 50 yards of red fabric and 110 yards of gold fabric to make red and gold curtains. What is the largest number of curtains she can
The largest number of curtains Jane can make is m . For each curtain would be used r yards of red fabric and
G yards of gold fabric.
1 Expert Answer
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There are two problems here. One is that you give the curtains as being in yards, which doesn't tell us the area of the pieces of fabric you have. If the units are really in square yards it's more helpful. Or if you were buying them off of a roll of fabric that had a certain width, then knowing that we could find the area of the fabric. The other problem is that we don't know how big you want each curtain to be.
I'll use A and B for the areas of each piece of fabric. I'll say that C is the area of one curtain.
To find how many curtains you can make in total add A and B together and then divide by C.