Question

A truck that can carry no more than 6600 lbs is being used to transport refrigerators and upright pianos. each refrigerator weighs 300 lbs and each piano weighs 425 lbs. what is an equation that shows how many refrigerators and how many pianos the truck could carry. will 10 refrigerators and 8 pianos overload the truck?

Answer 1

(a). 300r + 425p ≤ 6,600

(b). No, it’s not considered overweight

Explanation:

In this question, we are to write an equation that shows the number of refrigerators and pianos the truck could carry.

Let the number of refrigerators be r and the number of pianos be p

By using their individual weights, the equation is as follows;

300r + 425p ≤ 6,600

To the second question, we want to consider if 10 refrigerators and 8 pianos are overload.

To get this, we simply multiply the number of each by their individual weights;

That would be;

300(10) + 425(8) = 3000 + 3,400 = 6,400 lbs

This is not considered overweight as it is less than 6,600 lbs