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cisneros3
28.03.2020 •
Mathematics
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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Ответ:
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.
Ответ: