Question

Ann drives a truck for a soft drink company. Her truck is filled with 15-ounce cans and 70-ounce bottles. Let c be the number of 15-ounce cains the truck iscarrying, and let b be the number of 70-ounce bottles.The truck must be carrying less than 4000 pounds (64,000 ounces). Using the values and variables given, write an inequality describing this.

Answer 1

It is given that a truck is filled with 15-ounce cans and 70-ounce bottles.

The variable c represents the number of 15-ounce cans and the variable b represents the number of 70-ounce bottles.

The number of ounces of cans will then be 15c.

The number of ounces of bottles will be 70b.

The total number of ounces carried by the truck is therefore:

`15c+70b`

Since it is given that the truck must be carrying less than 64,000 ounces, it follows that the expression for the total number of ounces must be less than 64000:

`15c+70b<64000`

The required inequality is 15c+70b<64000.