Question

Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of chicken. How many pounds of chicken will be needed for a single serving?
one and one seventh pounds
nine and three sevenths pounds
two over 49 pounds
three sevenths pounds

Answer 1

Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The number of pounds for 3 people is given by:

$3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}$

Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:

$\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}$

24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:

one and three seventh pounds.

More can be learned about proportions at brainly.com/question/24372153

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