Question

Beverages inc. sells espresso for 8.50 per pound and roasted coffee for 10.25 per pound. the following equations represent a recent online purchase. x+y=5 and 8.5x+ 10.25y=46. which of the following is true?
A. the variable x represents represents the pounds of roasted coffee in the 46$ purchase.
B. the variable y represents the pounds of roasted coffee in the 46$ purchase
C. the consumer spent 46$ and purchase 5 pounds of espresso
D. the consumer spent 46$ and purchase 5 pounds of roasted coffee

Answer 1

Answer: B. the variable y represents the pounds of roasted coffee in the 46$ purchase.

Step-by-step explanation:

Given: The rate of espresso = $8.50 per pound

The rate of coffee = $10.25 per pound

The equation represents a online purchase.

$x+y=5$ ............(1)

and $8.5x+10.25y=46$.................(2)

from equation (2), 8.5 is the coefficient of x, thus variable x represents the pounds of espresso and 10.25 is the coefficient of y, thus variable y represents the pounds of roasted coffee in the total purchase of $46.

And equation (1) represents the total pounds of espresso and roasted coffee.

Hence only option B is correct.

Answer 2

the answer is B because the x represents the amount of espresso purchased and y represents the amount of roasted coffee purchased.

in total 5 pounds were purchased and it cost a total of $46 for the combination of types of coffee