A sewing club used 48 feet of fabric to make 8 blankets. At this rate how many blankets can be made from 6 yards of fabric?
2 answers:
Answer:
With 6 yards can made 3 blankets
Step-by-step explanation:
First it is necessary to convert 6 yards into feets. This is calculate using a rule of three in which 1 yard is equivalent to 3 feets, so how many feets are 6 yards. This is:
1 yard ------------------ 3 feet
6 yards ---------------- X
Where X is the number of feets that are equal to 6 yards. Then X is equal to:
Then, using a rule of three, if the sewing club made 8 blankets with 48 feet, then how many blankets could be made with 18 feets. This is:
8 Blankets -------------- 48 feet
Y -------------- 18 feets
Where Y is the number of blankets that could be made with 18 feets. Solving for Y, we get:
So, with 6 yards or 18 feets of fabric the sewing club can made 3 blankets.
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It is fairly easy to try 3 by synthetic division (see attachment), which tells you that 3 is a root and the remaining quadratic factor is x²-3x-5. The quadratic formula tells you the roots of that factor are
... x = (-b±√(b²-4ac))/(2a) = (3±√29)/2
The appropriate choices are
... C. (3-√29)/2
... D. (3+√29)/2
... F. 3
_____
The quadratic formula tells you the solution to
... ax²+bx+c=0
is x = (-b±√(b²-4ac))/(2a)
We have a=1, b=-3, c=-5.
