Question

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?

Answer 1

The new container will have 4.8 oz of yogurt.

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.