Question

4 yards of woolen fabric costs $30.00 more than 6 yards of silk fabric. How much does the silk cost if the cost of the silk is $25.00 less than the cost of the wool?

Answer 1

Cost of yard silk fabric : $35

Cost of yard of woolen fabric: $60

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