Lesson System of equations helps to solve a problem for the Thanksgiving day
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<H2>System of equations helps to solve a problem for the Thanksgiving day</H2> <H3>Problem 1</H3>Kylie was buying pies at the store for her co-workers on Thanksgiving. She needs a total of 12 pies. The store sells pumpkin pies for $4 a pie and apple pies for $2 a pie. If Kylie ended up spending $30 on pies alone, how many of each pie did she purchased? <B>Solution</B> <pre> Let x represents the number of pumpkin pies that Kylie buys, and let y represents the number of apple pies. The total number of pies purchased is x + y = 12. The total cost is 4x + 2y = 30. Thus you have this system of equations to solve: x + y = 12, 4x + 2y = 30. Solving the the first equation for y gives: y = 12 - x Substituting "12 - x" in place of y in the equation 4x + 2y = 30 gives: 4x + 2(12 - x) = 30, 4x + 24 - 2x = 30, 2x + 24 = 30, 2x = 6 ====> x = 3. Thus, she has purchased 3 pumpkin pies, and 12 - 3 = 9 apple pies. <B>Answer</B>. 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