Question

laura drives a truck for a soft drink company. her truck contains only cans and bottles. the table below shows the weight (in ounces) of each of these items.

weight of each item (in ounces)	can	bottle

let c be the number of cans the truck is carrying.
let b be the number of bottles the truck is carrying.
suppose the truck can carry at most 64,000 ounces. using the values and variables given, write an inequality describing this.

Explanation:

Step1: Calculate total weight of cans

Each can weighs 20 ounces, and there are \( c \) cans. So total weight of cans is \( 20c \) ounces.

Step2: Calculate total weight of bottles

Each bottle weighs 75 ounces, and there are \( b \) bottles. So total weight of bottles is \( 75b \) ounces.

Step3: Find total weight and set inequality

Total weight of cans and bottles is \( 20c + 75b \) ounces. The truck can carry at most 64,000 ounces, which means the total weight must be less than or equal to 64,000. So the inequality is \( 20c + 75b \leq 64000 \).

Answer:

\( 20c + 75b \leq 64000 \)