EXAMPLE 3 Standardized Test Practice SOLUTION

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Presentation transcript:

EXAMPLE 3 Standardized Test Practice SOLUTION Write verbal models for this situation.

EXAMPLE 3 Standardized Test Practice Equation 1 Equation 2

Standardized Test Practice EXAMPLE 3 Standardized Test Practice STEP 2 Write a system of equations. Equation 1 5x + 7y = 2500 Total cost for all T-shirts Equation 2 8x + 12y = 4200 Total revenue from all T-shirts sold STEP 3 Solve the system using the elimination method. Multiply Equation 1 by –8 and Equation 2 by 5 so that the coefficients of x differ only in sign. 5x + 7y = 2500 – 40x – 56y = – 20,000 40x + 60y = 21,000 8x + 12y = 4200 Add the revised equations and solve for y. 4y = 1000 y = 250

Standardized Test Practice EXAMPLE 3 Standardized Test Practice Substitute the value of y into one of the original equations and solve for x. 5x + 7y = 2500 Write Equation 1. 5x + 7(250) = 2500 Substitute 250 for y. 5x + 1750 = 2500 Simplify. x = 150 Solve for x. The school sold 150 short sleeve T-shirts and 250 long sleeve T-shirts. ANSWER The correct answer is C.

GUIDED PRACTICE for Example 3 4. WHAT IF? In Example 3, suppose the school spends a total of $3715 on T-shirts and sells all of them for $6160. How many of each type of T-shirt are sold? The school sold 365 short sleeve T-shirts and 270 long sleeve T-shirts. ANSWER