Tocalculate:The cost of 1 quart of red paint and the cost of 1 quart of yellow paint if hardware store mixes paints in a ratio of two parts red to six parts yellow to make two gallons of pumpkin orange. A ratio of five parts red to three parts yellow makes two gallons of pepper red. A gallon of pumpkin orange sells for $25 and a gallon of pepper red sells for $28.
The cost of 1 quart of red paint is $7.75 and 1 quart of yellow paint costs $5.75.
Given information:
It is given that hardware store mixes paints in a ratio of two parts red to six parts yellow to make two gallons of pumpkin orange. A ratio of five parts red to three parts yellow makes two gallons of pepper red. A gallon of pumpkin orange sells for $25 and a gallon of pepper red sells for $28.
Formula used:
  
Calculation:
Consider the given information.
Let x is the cost of 1 quart of red paint and cost of 1 quart of yellow paint is represented by y .
It is given that two gallons of pumpkin orange contains 2 part of red paint and 6 part of yellow paint and a gallon of pumpkin orange sells for $25 so two gallons of pumpkin orange cost $50.
Thus, 2 part of red paint and 6 parts of yellow paint sold $50.
  
Also, two gallons of pepper red contains 5 parts of red and 3 parts of yellow paint.
One gallon of pepper red costs $28 so the cost of two gallons will be $56.
Therefore 5 part of red paint and 3 parts of yellow paint sold for $56. This can be written as:
Write it into matrix form.
  
Now use Calculator to solve the equation.
Step 1: Press the 2ND key then press MATRX and select EDIT.
Step 2: Click 1 to access matrix A.
Step 3: Input the dimensions and enter the entries by pressing ENTER after each value.
  
Step 4: Press 2ND QUIT 2ND MATRX and select MATH.
Step 5: Click ALPHA B 2ND MATRX 1 ) .
  
Step 6: Now press ENTER.
  
The cost of 1 quart of red paint is $7.75 and 1 quart of yellow paint costs $5.75.
Chapter 3 Solutions
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