Question

The Mad Hat Company must ship two different-sized boxes: The small ones cost them 45 cents each and weigh 6 ounces, and the large ones weigh 25 ounces and cost $1.20 each. The total shipment this morning weighed 20 pounds 7 ounces and cost $18.45. How many packages of each size were shipped?

Answer 1

Given :

The Mad Hat Company must ship two different-sized boxes: The small ones cost them 45 cents each and weigh 6 ounces, and the large ones weigh 25 ounces and cost $1.20 each.

The total shipment this morning weighed 20 pounds 7 ounces and cost $18.45.

To Find :

How many packages of each size were shipped.

Solution :

We know, 1 pound = 16 ounces.

So, 20 pound = 20×16 = 320 ounces.

Let, number of large and small box are l and s.

So,

25l + 6s = 327 ...1)

0.45s + 1.20l = 18.45 ...2)

Solving both the equations, we get :

x = 9 and y = 17

Therefore, package smaller and big size are 17 and 9 respectively .

Hence, this is the required solution.