Problema Solution
The members of a sewing circle are making blankets to give to shelters. This week, they made 33 twin-size blankets and 36 queen-size blankets, using a total of 321 yards of fabric. Last week, the members completed 47 twin-size blankets and 12 queen-size blankets, which required 143 total yards of fabric. How much fabric is used for the different sizes of blankets?
Answer provided by our tutors
let
x = yards of fabric needed for one twin-size blanket
y = yards of fabric needed for one queen-size blanket
This week, they made 33 twin-size blankets and 36 queen-size blankets, using a total of 321 yards of fabric:
33x + 36y = 321
Last week, the members completed 47 twin-size blankets and 12 queen-size blankets, which required 143 total yards of fabric:
47x + 12y = 143
by solving the system of equations:
33x + 36y = 321
47x + 12y = 143
we find:
x = 1 yd
y = 8 yd
click here to see the step by step solution of the system of equations:
1 yards of fabric is used for one twin-size blanket.
8 yards of fabric are used for one queen-size blanket.