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Real-Life Activities

Real-Life Math -- Solution

Get out your scratch pad so you can show the math to the Newtons!

  1. The old boiler is 70 percent efficient. If 1,000 gallons of oil are used, how many litres are actually used to keep the house warm?

    70/100 = n/1,000
    n = 700 gallons

    About 700 gallons are used to actually keep the house warm.

  2. The new boiler is 90 percent efficient. How much oil will it take to run the new boiler? Remember how much it took to actually keep the house warm with the old boiler.

    90/100 = 700/n
    n = 778 gallons

    About 778 gallons are used to run the new boiler.

  3. How much oil do you save per year by using the new boiler instead of the old one?

    1,000 gallons (used in old boiler) - 778 gallons (used in new boiler) = 222 gallons saved

    You save 222 gallons per year.

  4. If oil costs $1 per gallon, how much money will the Newtons save per year using the new boiler?

    $1 x (222) = $222

    The Newtons save $222 per year using the new boiler.

  5. Based on the money they'll save, how many years will it take to pay for the new $2,886 boiler?

    $2,886 cost of new boiler / $222 saved per year = 13 years

    It will take 13 years to pay off the new boiler.

Home inspectors on the job use mathematics. Most often, math skills are used for calculating estimates on the cost of repairs, says Graham Clarke, a home inspector and engineering manager.

For example, say the house you've just inspected needs a new roof. Your client will want to know about how much it will cost for a new roof so they can budget for that expense and also haggle on the sale price of the house! In this case, you'll have to estimate the size of the roof in square feet. Then, you'll multiply that with the average cost per unit for a new roof to be able to give an estimate.


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