SOLUTION: The problem is this: At the Book Nook bookstore 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

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Question 1106521: The problem is this:
At the Book Nook bookstore 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. Determine the hourly wage for the managers.
Found 2 solutions by Theo, josgarithmetic:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
let x = the hourly wage of the manager.
let y = the hourly wage of the clerk.

your equations are:

x = 2y - 1.75

x - y = 6.75

these are two equations that need to be solved simultaneously.

there are several ways to solve them.

this is only one of them.

your two equations are:

x = 2y - 1.75

x - y = 6.75

in the second equation, solve for x to get x = y + 6.75

your two equations are now:

x = 2y - 1.75

x = y + 6.75

subtract the second equation from the first to get:

0 = y - 8.50

solve for y to get y = 8.50

from the equation of x = y + 6.75, replace y with 8.50 to get x = 8.50 + 6.75.

this makes x equal to 15.25

you have:

x = 15.25
y = 8.50

x = 2y - 1.75 becomes x = 17 - 1.75 which becomes x = 15.25.

x - y becomes 15.25 - 6.75 = 8.50.

all the requirements of the problem are confirmed to be true, so the solution can assumed to be good.

the solution is that the the hourly wage for the managers is 15.25 per hour.

Answer by josgarithmetic(39621) (Show Source):
You can put this solution on YOUR website!
c, hourly wage of clerk
m, hourly wage of manager
Description turned into system of equations:

-
simple substitution:

--------clerk rate
-

--------manager rate