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.

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.