Problema Solution

The school store sells pens for $0.35 each and pencils for $0.15 each. Anthony spent $2.80 to buy a total of 13 pens and pencils. How many pens did anthony buy?

Answer provided by our tutors

let


x = the number of pens, where x is non-negative integer

y = the number of pencils, where y is non-negative integer


Anthony spent $2.80 to buy a total of 13 pens and pencils


0.35x + 0.15y = 2.80


x + y = 13


by solving the above system of equations we find


x = 4.25 pens


y = 8.75 pencils


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the solutions of the system are not integer numbers (the number of pencils and pens sold must be integer) thus there is no solution.