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10 June, 09:07

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?

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  1. 10 June, 10:33
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    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
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