SOLUTION: A seamstress purchases 100 yds. of fabric. She can use it to make 20 skirts and 8 dresses. If she makes 14 dresses will she have enough fabric to make 10 skirts. How many yards of
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Question 98857: A seamstress purchases 100 yds. of fabric. She can use it to make 20 skirts and 8 dresses. If she makes 14 dresses will she have enough fabric to make 10 skirts. How many yards of fabric are needed to make each?
You can put this solution on YOUR website! A seamstress purchases 100 yds. of fabric. She can use it to make 20 skirts and 8 dresses. If she makes 14 dresses will she have enough fabric to make 10 skirts. How many yards of fabric are needed to make each?
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Let "s" be # of yards needed to make a skirt.
Let "d" be # of yards needed to make a dress.
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EQUATIONS:
1st: 20s+ 8d=100
2nd: 10s+14d=100
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Multiply 2nd by 2 to get:
3rd: 20s+28d=200
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Subtract 1st from 3rd to solve for "d"
20d=100
d=5 (# of dresses to be made)
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Substitute into 20s+8d=100 to solve for "s"
20s+8*5=100
20s = 60
s=3 (# of skirts be be made)
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Cheers,
Stan H.
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