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15 September, 11:08

At the grocery store, a 15-ounce box of raisin bran costs $3.19. A 20-ounce box of raisin bran costs $3.59, and a 25.5-ounce box of raisin bran costs $3.99. What is the unit rate for each box of cereal? Round each answer to the nearest cent.

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  1. 15 September, 13:45
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    The answers are:

    1. The 15-ounce box has a unit rate of 21 cents per ounce

    2. The 20-ounce box has a unit rate of 18 cents per ounce

    3. The 25.5-ounce box has a unit rate of 16 cents per ounce

    Step-by-step explanation:

    First, you have to know the relationship between the cent and the dollar ($) and that is:

    100 cents = $ 1

    Next, let us convert all the prices in dollars to cents, to make calculations easy:

    if 100 cents = $1

    ∴ $3.19 = 3.19 * 100 = 319 cents

    $3.59 = 3.59 * 100 = 359 cents

    $ 3.99 = 3.99 * 100 = 399 cents.

    Next Let us find the unit cost of each box of sereal by dividing the total ounces by their prices:

    1. for the 15-ounce box:

    15-ounces = 319 cents

    ∴ 1 ounce (unit cost) = 319 : 15 = 21.26 = 21 cents (to the nearest cent)

    2. for the 20-ounce box:

    20-ounces = 359 cents

    ∴ 1 ounce = 359 : 20 = 17.95 = 18 cents (to the nearest cent)

    3. for the 25.5 ounce box:

    25.5 ounces = 399 cents

    ∴ 1 ounce = 399 : 25.5 = 15.65 = 16 cents (to the nearest cent)
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