Question

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?

4c = h
1.5c + 2h = 360
c = 4h
1.5c + 2h = 360
c + h = 360
1.5c = 4(2h)
c + h = 360
4(1.5c) = 2h

Answer 1

The correct system is

c = 4h
1.5c + 2h = 360

Explanation: "4 times as many cold as hot" gives c = 4h, and receipts give 1.5·c + 2·h = 360.