SOLUTION: Write a system of two equations in two unknowns for each problem Solve the systems by the method of your choice. At Gwen�s garage sale, all books were one price, and all magazi

Question 53894: Write a system of two equations in two unknowns for each problem Solve the systems by the method of your choice.
At Gwen�s garage sale, all books were one price, and all magazines were another price. Harriet bought four books and five magazines for $1.45, and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine?

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
145=4B+5M & 125=2B+5M NOW MULTIPLY THE SECOND EQUATION BY -1 WE GET -125=-2B-5M
NOW WE ADD THESE TWO EQUATIONS
145=4B+5M
-125=-2B-5M
---------------------
20=2B OR B=20/2 OR B=10 CENTS THEN 145=4*10+5M OR 145=40+5M OR 5M=145-40 OR
5M=105 OR M=105/5 OR 21 CENTS FOR EACH MAGAZINE.
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