Question

Nails are sold in 8 ounce and 20-ounce boxes. If 50 boxes of nails were sold and total weight of the nails sold was less than 600 ounces, what is the greatest possible number of 20-ounces boxes that could have been sold?A. 34B.33C.25D.16

Answer 1

Let the number of 8 ounce box be "x" and the number of 20 ounce box be "y".

50 boxes of nails were sold, so we can write:

`x+y=50`

Also, the total weight of the boxes was less than 600 ounces, we can write:

`8x+20y<600`

To find the greatest possible number of 20-oz boxes, we can plug in and check the answer choices. That is the best approach.

A)

If "34" 20 ounces box were sold, the number of 8-oz boxes were 50 - 34 = "16". Let's see if the inequality holds true or not: