10
QuizMultiple Choice

Modeling with Systems of Linear Equations

Question 10 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink receipts totaled $360, and 4 times as many cold beverages were sold as hot beverages.Which system of linear equations represents the beverage sales on Saturday?

Answer
A
4c = h1.5c + 2h = 360
B
c = 4h1.5c + 2h = 360
C
c + h = 3601.5c = 4(2h)
D
c + h = 3604(1.5c) = 2h

Explanation

The total receipts are the sum of the revenue from cold and hot beverages, so 1.50c + 2.00h = 360. Since four times as many cold beverages were sold as hot beverages, c = 4h. Choice B gives both equations.

AI-written and checked against the verified answer.

Previous
Next