BuyFind

Precalculus: Mathematics for Calcu...

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

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

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 80x
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.

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!