How many equal pieces that weigh between 12 and 13 ounces can be made from 110 ounce block if the whole block is used? How much will each piece weigh?

A paper square has area of 100 in². Into how many pieces of equal area must the square be but if the area of each piece is to be between 8 in² and 9 in²? What is area of piece?

Hi Matt,

Here is a similar problem.

I have a trucks that holds 20 cubic yards and I want to move 192 cubic yards of dirt. I want to use equal size, almost full loads, between 19 and 20 cubic yards per load. How many loads do I need and how many cubic yards per load?

If I try to use 19 cubic yards per load then I would need  ¹⁹²/₁₉ = 10 loads, but this leaves a remainder of 2 cubic yards. To make equal size loads I can divide this remaining 2 cubic yards equally among the 10 loads. ²/₁₀ is one-fifth so if I take 10 loads of size ninteen and a fifth cubic yards I can move all 192 cubic yards.

Check:

10 19 ¹/₅ = 190 + 2 = 192 cubic yards.

Penny