A school store sells 7 pencils and 8 notebooks for 415 It also sells 5 pencils

# A school store sells 7 pencils and 8 notebooks for

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A school store sells 7 pencils and 8 notebooks for4.15.It also sells 5 pencils and 3 notebooks for1.77.How much do 16 pencils and 10 notebookscost? (A)\$4.76(B)\$5.84(C)\$6.00(D)\$6.16(E)\$6. 322007 AMC 10 A, Problem #5“Set up two equations to solve the cost of a pencil anda notebook.” Difficulty: Medium-easy NCTM Standard: Problem Solving Standard: apply and adapt a variety of appropriate strategies to solve problems. Mathworld.com Classification: Algebra > Algebraic Equations > Linear Equation
At Euclid High School, the number of students takingthe AMC10 was 60 in 2002, 66 in 2003, 70 in 2004,76 in 2005, and 78 in 2006, and is 85 in 2007.Between what two consecutive years was there thelargest percentage increase? 2007 AMC 10 A, Problem #6“Find out the percentage increase for each year.” Difficulty: Medium NCTM Standard: Problem Solving Standard: apply and adapt a variety of appropriate strategies to solve problems. Mathworld.com Classification: Number Theory > Arithmetic > Fractions > Percent
Last year Mr. John Q. Public received an inheritance.He paid 20% in federal taxes on the inheritance, andpaid 10% of what he had left in state taxes. He paida total of10,500 for both taxes. How many dollarswas the inheritance? (A)30,000(B)32,500(C)35,000(D)37,500(E)40,000 2007 AMC 10 A, Problem #7“Find out the percentage10,500 in the inheritance.” Difficulty: Medium NCTM Standard: Algebra Standard: represent and analyze mathematical situations and structures using algebraic symbols. Mathworld.com Classification: Number Theory > Arithmetic > Fractions > Percent
Triangles ABC and ADC are isosceles with AB = BC and AD = DC . Point D is inside 4 ABC , ABC = 40 , and ADC = 140 . What is the degree measure of BAD ? (A) 20 (B) 30 (C) 40 (D) 50 (E) 60 2007 AMC 10 A, Problem #8 BAD = BAC - DAC .” Solution Answer (D): Because 4 ABC is isosceles, BAC = 1 2 (180 - ABC ) = 70 . A B C D 40 140 Similarly, DAC = 1 2 (180 - ADC ) = 20 . Thus BAD = BAC - DAC = 50 . OR Because 4 ABC and 4 ADC are isosceles triangles and BD bisects ABC and ADC , applying the Exterior Angle Theorem to 4 ABD gives BAD = 70 - 20 = 50 . Difficulty: Medium NCTM Standard: Geometry Standard: analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships.