At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard. Write an equation that represents the total yards of fabric.
1 answer:
Answer:
Answer:
Silk = x = 1.5 yards
Cotton = y = 2.75 yards
Step-by-step explanation:
x + y = 4.25
16.90x + 4y = 36.35
1. The solution to the equation represent number of yards of silk and number of yards of cotton bought.
2.
x + y = 4.25 (1)
16.90x + 4y = 36.35 (2)
Multiply (1) by 4
4x + 4y = 17 (3)
16.90x + 4y = 36.35 (2)
Subtract (3) from (2)
16.90x - 4x = 36.35 - 17
12.90x = 19.35
Divide both sides by 12.90
x = 19.35 / 12.90
= 1.5
x = 1.5 yards
Substitute x = 1.5 yards into (1)
x + y = 4.25
1.5 + y = 4.25
y = 4.25 - 1.5
= 2.75
y = 2.75 yards
Silk = x = 1.5 yards
Cotton = y = 2.75 yards
Step-by-step explanation:
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