Question

Bob drives a truck for a soft drink company. His truck is filled with 15 oz cans and 70 oz bottles. Let C be the number cans and b be the number of bottles. The truck must be carrying less than 7000 lbs. find the inequality describing this.

Answer 1

Using ounces, the inequality should be:

15c + 70b < 112,000

Using pounds, the inequality should be:

0.9375c + 4.375b < 7,000

Explanation:

1. Let's review the information provided to us to answer the question correctly:

Weight of a can of soft drink (c) = 15 ounces

Weight of a bottle of soft drink (b) = 70 ounces

The truck mist be carrying less than 7,000 pounds

2. Find the inequality describing this.

Let's recall that 1 pound = 16 ounces and 1 ounce = 0.0625 pounds

c = Number of cans in the truck

b = Number of bottles in the truck

Upon saying that, we can write the inequality either using ounces or pounds, this way:

Using ounces, the inequality should be:

15c + 70b < 7,000 * 16

15c + 70b < 112,000

Using pounds, the inequality should be:

15 * 0.0625c + 70 * 0.0625b < 7,000

0.9375c + 4.375b < 7,000