Question

Three boxes are ready for shipment. The boxes average 26 pounds each. The first box weighs 30 pounds. The second box weighs 25 pounds. The third box must weigh —- pounds for the average to be 26 pounds.

Answer 1

The third box weighs 23 pounds

Answer 2

Answer:  The required weight of the third box is 23 pounds.

Step-by-step explanation:  Given that three boxes are ready for shipment. The boxes average 26 pounds each. The first box weighs 30 pounds. The second box weighs 25 pounds.

We are to find the weight of the third box.

Let x pounds be the weight of the third box.

Then, according to the given information, we have

$\dfrac{30+25+x}{3}=26\\\\\\\Rightarrow \dfrac{55+x}{3}=26\\\\\Rightarrow 55+x=26\times3\\\\\Rightarrow 55+x=78\\\\\Rightarrow x=78-55\\\\\Rightarrow x=23.$

Thus, the required weight of the third box is 23 pounds.