# The quantity of each type of tea merchant use to blend. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 60E
To determine

## To find: The quantity of each type of tea merchant use to blend.

Expert Solution

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 80−x Quantity of mixture 2.90(80)

Model the equation for the above information.

Qunatityof$3tea+Quantityof$2.75tea=Quantityofmixture3x+2.75(80x)=2.90(80)

Simplify the above equation for x,

3x+2202.75x=2320.25x+220=232025x=12x=48

The quantity of $3 tea is 48 oz. Quantity of$2.75 tea (8048) is 32 oz.

Thus, the merchant blend 48 oz of $3 tea with 32 oz of$2.75 tea.

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