Concept explainers
Mixture Problem A merchant blends tea that sells for $3.00 an ounce with tea that sells for $2.75 an ounce to produce 80 oz of a mixture that sells for S2.90 an ounce. How many ounces of each type of tea does the merchant use in the blend?
To find: The quantity of each type of tea merchant use to blend.
Answer to Problem 60E
The merchant blend 48 oz of $3 tea with 32 oz of $2.75 tea.
Explanation of Solution
Given:
The merchant blend a tea of cost $3 and other tea of cost $2.75 to produce 80 oz mixture that sells for $2.90 an ounce.
Calculation:
Let the quantity of $3 tea be x.
Tabulate the given information into the language of algebra.
In words | In Algebra |
Quantity of $3 tea | x |
Quantity of $2.75 tea |
|
Quantity of mixture |
|
Model the equation for the above information.
Simplify the above equation for x,
The quantity of $3 tea is 48 oz. Quantity of $2.75 tea
Thus, the merchant blend 48 oz of $3 tea with 32 oz of $2.75 tea.
Chapter 1 Solutions
Precalculus - A Custom Text for UNLV
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