Answer:
Cost of yard silk fabric : $35
Cost of yard of woolen fabric: $60
Step-by-step explanation:
This problem must be represented as a linear system of equations
Let
x = the cost of 1 yard of woolen fabric
y = the cost of 1 yard of silk fabric
The problem tells us
4 yards of woolen fabric costs $30.00 more than 6 yards of silk fabric.
4.x = 6.y + 30
cost of the silk is $25.00 less than the cost of the wool
y = x - 25
The system of equations is
4x - 6y = 30
x - y = 25
If we solve this system of equations using a calculator or computational tool, we get the following values
x = $60
y = $35