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

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?

Answer by stanbon(75887) (Show Source): 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?
---------------------
Let "s" be # of yards needed to make a skirt.
Let "d" be # of yards needed to make a dress.
------------------------
EQUATIONS:
1st: 20s+ 8d=100
2nd: 10s+14d=100
------------------
Multiply 2nd by 2 to get:
3rd: 20s+28d=200
------------------
Subtract 1st from 3rd to solve for "d"
20d=100
d=5 (# of dresses to be made)
----------------
Substitute into 20s+8d=100 to solve for "s"
20s+8*5=100
20s = 60
s=3 (# of skirts be be made)
================
Cheers,
Stan H.

RELATED QUESTIONS
it takes 2.5 yards of material to make a dress. A clothing desiner estimates that she can (answered by Boreal)

Working 8 hours a day a dressmaker takes 18 days to make a number of dresses. How long... (answered by josgarithmetic)

Jane has a dress shop. She has space for 200 dresses. She sells only red and blue... (answered by ankor@dixie-net.com)

Jane has a dress shop. She has space for 200 dresses. She sells only red and blue... (answered by ptaylor)

Gloria makes teddy bears. She dresses some as girl bears with dresses and bows, and some... (answered by josmiceli)

Christine has six cocktail dresses. she needs to pack 4 of these dresses for her... (answered by ewatrrr)

Kylie works as a seamstress. She gets paid $15 for each pair of shorts she makes and $6... (answered by ikleyn,josgarithmetic)

Kylie works as seamstress. She gets paid $15 for each pair of shorts she makes and $6... (answered by josgarithmetic)

Sally is going to buy a total of 11 new items at Target. She is going to buy jeans,... (answered by ikleyn)