akshayb2 wrote:
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 12 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 12 questions did Zachary answer correctly?
6
7
8
9
10
After 12 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy It means after having 14 questions the candies would be 31 right?? or I am missing something here
Hi Akshay,
The total number question to be answered is not 14.
Lets say X is the total questions he answered correct. and 12 - x is the total questions he answered wrong.
Now, the questions says that if he had answered 2 more questions correct, he would have got 31 candies. So
Correct = x + 2 and Wrong = 12 - x - 2 = 10 - x ( We need to subtract 2 from the wrong questions also while adding 2 to the correct questions )
The equations :
3 (x + 2 ) - 2 (10 - x) = 31
Solving, we get
X = 9 Total Questions answered correct = 9
Hope the above explanation helped.
Cheers
Qoofi
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