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15 April, 08:57

Each tub of yogurt contains 1.85g of fat. The company would like to reduce this amount by 15%, but instead of changing the yogurt composition, the company would like to alter the serving size. How many fluid ounces will the new container be?

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  1. 15 April, 09:17
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    The new container will have 4.8 oz of yogurt.

    Step-by-step explanation:

    Here, the given question is incomplete.

    A local food company produces yogurt in ¾ = 0.75 cup tubs.

    2 cups = 1 pint

    2 pint = 1 quart

    4 quartz = 1 gallon

    15 fluid oz = 1 pint

    Let us assume the needed quantity is m.

    Here, the present weight of yogurt in the tub = 0.75 cup

    So, 1 cup = 0.5 pint.

    ⇒ 0.75 cup = 0.5 x 0.75 = 0.375 pint

    Also, 1 pint = 15 oz fluid

    ⇒ 0.375 pint = 15 x 0.375 = 5.625 oz

    So, the current yogurt in the tub = 5.625 oz

    Now, 1 oz = 28.3495 grams

    ⇒ 5.625 oz = 5.625 x 28.3495 = 159.4 ≈ 160 grams

    So, 160 grams of yogurt has 1.85 gram fat.

    let us assume x % of 160 = 1.85

    or, x = 1.16%

    Now, 15% of 1.85 g = 0.2775 g

    So, the needed fat content = 1.85 g - 0.2775 g = 1.5725 g

    ⇒ 1.16 % of m = 1.5725 g

    Solving for the value of m, we get:

    m = 135. 56 g

    1 gram = 0.035274 oz

    ⇒ 135. 56 g = 0.035274 oz x 135. 56 = 4.781738282 ≈ 4.8 oz

    Hence, the new container will have 4.8 oz of yogurt.
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