Problema Solution
At the Book Nook bokstore the hourly wage for its managers is $1.75 less than twice the hourly wage for its clerks. The managers' hourly wage is higher and the difference in their hourly wages is $6.75. Determin the hourly wage for the managers
Answer provided by our tutors
let
m = the hourly wage of the managers
c = the hourly wage of the clerks
the hourly wage for its managers is $1.75 less than twice the hourly wage for its clerks:
m = 2c - 1.75
the managers' hourly wage is higher and the difference in their hourly wages is $6.75:
m - c = 6.75
by solving the system of equations:
m = 2c - 1.75
m - c = 6.75
we find:
c = $8.5
m = $15.25
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the hourly wage of the managers is $15.25 per hour.