Problema Solution

Mechanical pencils cost 13 cents each and wooden pencils cost 4 cents each. If I

purchase 200 pencils for $12.23, how many of each do I purchase?

Answer provided by our tutors

let


m = the number of mechanical pencils

w = the number of wooden pencils


I purchase 200 pencils for $12.23 = 1223 cents means


m + w = 200


13m + 4w = 1223


by solving the system of equations we find


m = 47 mechanical pencils


w = 153 wooden pencils


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47 mechanical pencils and 153 wooden pencils were purchased.