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Standardized Test Practice EXAMPLE 3 Darlene is making a quilt that has alternating stripes of regular quilting fabric and sateen fabric. She spends $76 on a total of 16 yards of the two fabrics at a fabric store. Which system of equations can be used to find the amount x (in yards) of regular quilting fabric and the amount y (in yards) of sateen fabric she purchased ? x + y = 16 A B D x + y = 76 C 4x + 6y = 76 6x + 4y = 764x + 6y = 16

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Standardized Test Practice EXAMPLE 3 SOLUTION Write a system of equations where x is the number of yards of regular quilting fabric purchased and y is the number of yards of sateen fabric purchased. Equation 1: Amount of fabric x + y = 16

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Standardized Test Practice EXAMPLE 3 Equation 2: Cost of fabric The system of equations is : x + y = 16 4x + 6y = 76 Equation 1 Equation 2 ANSWER A D CB The correct answer is B. 4 76 6+ = y x

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GUIDED PRACTICE for Example 3 SOCCER A sports equipment store is having a sale on soccer balls. A soccer coach purchases 10 soccer balls and 2 soccer ball bags for $155. Another soccer coach purchases 12 soccer balls and 3 soccer ball bags for $189. Find the cost of a soccer ball and the cost of a soccer ball bag. 4. ANSWER soccer ball $14.50, soccer ball bag: $5

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EXAMPLE 3 Write the standard equation of a circle The point (–5, 6) is on a circle with center (–1, 3). Write the standard equation of the circle. SOLUTION.

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