Question

justin drives a truck for a soft drink company. his truck is filled with 15 - ounce cans and 70 - ounce bottles. let ( c ) be the number of 15 - ounce cans the truck is carrying, and let ( b ) be the number of 70 - ounce bottles. the truck must be carrying less than 5000 pounds (80,000 ounces). using the values and variables given, write an inequality describing this.

Explanation:

Step1: Calculate total ounces

The total ounces from 15 - ounce cans is $15c$ (since each can is 15 ounces and there are $c$ cans), and from 70 - ounce bottles is $70b$ (each bottle is 70 ounces and there are $b$ bottles). The total weight in ounces is $15c + 70b$. We know that 5000 pounds is equal to $5000\times16 = 80000$ ounces (since 1 pound = 16 ounces).

Step2: Set up the inequality

The truck must carry less than 80000 ounces. So the inequality is $15c + 70b<80000$.

Answer:

$15c + 70b < 80000$