# Equations

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An invoice for 17 brooms and 22 mops totaled 211.84. Another invoice for 20 brooms and 14 mops totaled 191.00 How much did each broom cost, and how much did each mop cost (to the nearest cent)?

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##### Solution Summary

Solution sets up a system of equations to solve for unknown variables.

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Let the brooms cost be denoted by x and the mops cost be denoted by y

invoice for 17 brooms and 22 mops totaled 211.84

or 17 x + 22 y= 211.84 ---Equation1

invoice for 20 brooms and 14 mops totaled 191.00

or 20 x + 14 y= 191 ---Equation2

Now we have two equations and and an equal number= two unknowns

Thus the equations can be solved simultaneously ...

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