Problema Solution

Brett and Howard bought some pens and pencils. Brett bought 4 pens and 5 pencils, which cost him $6.71. Howard bought 5 pens and 3 pencils, which cost him $7.12. What is the cost of a pen and a pencil.

Answer provided by our tutors

let


x = the cost of a pen

y = the cost of a pencil


Brett bought 4 pens and 5 pencils, which cost him $6.71


4x + 5y = 6.71


Howard bought 5 pens and 3 pencils, which cost him $7.12


5x + 3y = 7.12


by solving the system of equations


4x + 5y = 6.71

5x + 3y = 7.12


we find


x = $1.19


y = $0.39


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the cost of one pen is $1.19.

the cost of one pencil is $0.39.