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Real-Life Activities

Real-Life Math

You fire up your forge and get ready to make a new set of shoes for a horse. As a farrier, you can cold shoe a horse -- that is, you can select from a number of premade shoes and find ones that will fit the horse.

Or you can hot shoe. Hot shoeing involves heating up horseshoes and stretching and shaping the steel to fit the shape of the horse's hoof.

"We need to know how much steel to use for each kind of shoe," says Lara Doyle, a farrier. "Different types of steel are used for different types of shoes. Each type of steel stretches a different amount, so we need to be able to calculate for the different types of steel."

Steel is an alloy of carbon and iron. Usually, horseshoes have between 0.2 percent and 2 percent carbon so that the steel can be hardened and tempered.

  1. You have 2 types of steel: type A has 0.2 percent carbon and type B has 2 percent carbon. How much iron does each type have?
  2. How much more iron does type A steel have than type B?