Difference between revisions of "2017 AMC 8 Problems/Problem 14"
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Revision as of 19:10, 22 November 2017
Problem 14
Chloe and Zoe are both students in Ms. Demeanor's math class. Last night they each solved half of the problems in their homework assignment alone and then solved the other half together. Chloe had correct answers to only of the problems she solved alone, but overall
of her answers were correct. Zoe had correct answers to
of the problems she solved alone. What was Zoe's overall percentage of correct answers?
Solution
Let the number of questions that they solved alone be . Let the percentage of problems they correctly solve together be
%.
As given,
.
Hence, .
Zoe got problems right out of
. Therefore, Zoe got
percent of the problems correct.
See Also
2017 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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