Cake A takes the decorator 9 hours, the baker 6 hours, and the design consultant 1 hour to complete Cake B takes the decorator 10 hours, the baker 4 hours, and the design consultant 2 hours CakeCtakesthedecorator12hours,thebaker4hour,andthedesignconsultant1hour Without hiring additional employees, there are 398 decorator hours available, 164 baker hours available, and 58 design consultant hours available How many of each type of cake can be created Use the following guidelines for your answer A The number of cake A that can be produced B The number of cake B that can be produced C The number of cake C that can be produced Complete the following Set up the systems of equations There will be three equations You will want to group the decorator information together in one equation, the baker information together in a second equation, and the design consultant information in a third equation Solve the system of equations, using any preferred method for solving You will get positive, whole amounts of cakes Be sure to check your results Consider how this sort of problem could be applied to your personal life What is an example of a real world application of solving systems of linear equations

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Cake A takes the decorator 9 hours, the baker 6 hours, and the design consultant 1 hour to complete. Cake B takes the decorator 10

Cake A takes the decorator 9 hours, the baker 6 hours, and the design consultant 1 hour to complete.
Cake B takes the decorator 10 hours, the baker 4 hours, and the design consultant 2 hours.
CakeCtakesthedecorator12hours,thebaker4hour,andthedesignconsultant1hour.

Without hiring additional employees, there are 398 decorator hours available, 164 baker hours available, and 58 design consultant hours available. How many of each type of cake can be created?

Use the following guidelines for your answer:

A = The number of cake A that can be produced.
B = The number of cake B that can be produced.
C = The number of cake C that can be produced.

Complete the following:

Set up the systems of equations. There will be three equations. You will want to group the decorator information together in one equation, the baker information together in a second equation, and the design consultant information in a third equation.
Solve the system of equations, using any preferred method for solving. You will get positive, whole amounts of cakes.
Be sure to check your results.
Consider how this sort of problem could be applied to your personal life. What is an example of a real-world application of solving systems of linear equations?