To find: the milliliters of blue and red food coloring is used to make purple food coloring.
Answer to Problem 26PPS
The red food coloring is 6 milliliters.
The blue food coloring is 19 milliliters.
Explanation of Solution
Given information:
The purple food coloring require 25 milliliters of a 44% concentration food coloring.
The concentration of red and blue concentration of food coloring is 25% and 50%.
Formula used:
Inverse of a
The value of a second order determinant is the difference of the products of the products of the two diagonals.
Steps to solve the equations are:-
Step1. Find the inverse of the coefficient matrix.
Step 2. Multiple each side of the matrix equation by the inverse matrix.
Calculation:
According to the question ,
Let x be the red food coloring .
And y be the blue food coloring .
Thus, the system of equation formed is
The matrix equation is
Step 1.
Step2.
Or
Thus, 6 milliliters of red food coloring and 19 milliliters of blue food coloring is required for purple food coloring.
Chapter 4 Solutions
Algebra 2
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