Concept explainers
To write and solve the system of linear equations to find the price of 1 cup of dried fruit and 1 cup of almonds.
Answer to Problem 25E
Infinite solutions
Explanation of Solution
Given:
A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds. A large bag contains
Calculation:
Let the cost of 1 cup of dried fruit be
And let the cost of 1 cup of almonds be
According to the question,
Now, divide equation
Now, subtract equation
Therefore, there will be an infinite number of solutions that satisfy both the equations.
Conclusion:
Therefore, the price of 1 cup of dried fruit and 1 cup of almonds has infinite set of solutions.
Chapter 5 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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