Concept explainers
To find: the number of quarters and dimes Kevin have.
Answer to Problem 12CYU
The number of quarters and dimes are 10 and 15 respectively..
Explanation of Solution
Given information:
Kevin had 25 quarters and dimes.
The total value of all the coins is
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 number of quarters .
And y be the number of dimes.
Thus, the system of equation formed is
The matrix equation is
Step 1.
Step2.
Or
Thus, the number of quarters are 10 and number of dimes are 15.
Chapter 4 Solutions
Algebra 2
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