1999 AMC 8 Problems/Problem 16
Problem
Tori's mathematics test had 75 problems: 10 arithmetic, 30 algebra, and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra, and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more problems would she have needed to answer correctly to earn a 60% passing grade?
Solution
First, calculate how many of each type of problem she got right:
Arithmetic:
Algebra:
Geometry:
Altogether, Tori answered questions correct. To get a on her test overall, she needed to get questions right.
Therefore, she needed to answer more questions to pass, and the the correct answer is
See Also
1999 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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All AJHSME/AMC 8 Problems and Solutions |
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