Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 14 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 14 questions did Zachary answer correctly?  Choose the correct choice from the following answers
A) 6 B) 7 C) 8 D) 9 E) 10
i got two equations:   3x-2y=25   x+y=14   3x-2(14-x)=25   3x-28+2x=25   5x=53   x=10.6 or between 10 and 11. (ANS 10)
<result>E</result>
Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 14 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 14 questions did Zachary answer correctly?