Consider a company that specializes in gourmet chocolate baked goods-chocolate muffins, cookies and brownies. Each chocolate muffin requires 2 units of chocolate, 3 units of flour and 2 units of sugar. Each chocolate cookie requires 1 unit of chocolate, 1 unit of flour, and 1 unit of sugar. Each chocolate brownie requires 2 units of chocolate, 1 unit of flour and 1.5 units of sugar. Find the numbers of muffins, cookies and brownies that the company can produce with the given amount of raw materials....

a) 550 units of chocolate
525 units of flour
500 units of sugar

b) 800 units of chocolate
750 units of flour
700 units of sugar

answer:

a) _____________
_____________
_____________

b) _____________
_____________
_____________

Solution Preview

Suppose the number of muffins, cookies and brownies are x, y and z, respecitively.
According to the condition, the total number of units of chocolate is 2x+y+2z because each ...

Solution Summary

A word problem is expressed as a systems of equations. The systems are solved using matrix inverses. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

... and Inequalities, Writing Equations from Word Problems (20 Problems...SOLVE EACH OF THE FOLLOWING PROBLEMS: ... to the following inequality and express using interval ...

Algebra / Statistics (50 Problems) : Sets, Word Problems and Systems of Inequalities and ... property to remove the parentheses in the following expression. ...

Word problems, graphs and equations, etc. ... First express the ratio as a fraction reduced to ... each equation or inequality in the rectangular coordinate system. ...

... Linear Equations, Simultaneous Linear Equations, Word Problems, Graphs, Slope ... a formula that expresses the relationship ...Solve the following system of equations...

... and Inequalities and Writing Linear Equations from Word Problems. ... There is a linear equation that expresses B in ... the necessary steps to solve for this problem. ...

... card, y dollars on his Visa, and z dollars on his American Express card. ... 0 is equal to 8, there is no solution to this system of equations. Solve word problem. ...

...Express your answer as an inequality ... The questions all involve converting word problems into equivalent linear ... a and b of this exercise as a system of equations...

... and inequalities, including finding lines, word problems, evaluating expressions ... process you used to solve the problems. ...Express the answer as a solution set or ...

...solving for variables, and deriving a function from word problems. ... 2. Simplify the following expression: . ... of and that solve the following system of equations: ...

Algebra Application Word Problems : High-income Tax Bracket, Driving Time and ... a) Simplify the expression. ... linear equation for a high-income problem and solving...