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 purchased
w = the number of wooden pencils purchased
I purchase 200 pencils for $12.23
m + w = 200
Mechanical pencils cost 13 cents each and wooden pencils cost 4 cents each and total cost is $12.23 = 1,223 cents
13m + 4w = 1223
by solving the system of equations
m + w = 200
13m + 4w = 1223
we find
m = 47 mechanical pencils
w = 153 wooden pencils
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