Question

a container holds 0.7 liters of oil and vinegar. 3/4 of the mixture is vinegar. how many liters of vinegar are in the container.

Answer 1

There are 0.525 liters of vinegar

Answer 2

If 3/4 of the mixture is vinegar , then volume of vinegar is 0.525 liters.

Further explanation

Order of Operations in Mathematics follow this following rule :

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

A container holds 0.7 liters of oil and vinegar

$\texttt{Container Volume} = 0.7 ~ \texttt{liters}$

3/4 of the mixture is vinegar

$\texttt{Volume of Vinegar} = \frac{3}{4} \times \texttt{Container Volume}$

$\texttt{Volume of Vinegar} = \frac{3}{4} \times 0.7 ~ \texttt{liters}$

$\texttt{Volume of Vinegar} = \frac{3 \times 0.7}{4} ~ \texttt{liters}$

$\texttt{Volume of Vinegar} = \frac{2.1}{4} ~ \texttt{liters}$

$\texttt{Volume of Vinegar} = \boxed {0.525 ~ \texttt{liters}}$

Conclusion :

If 3/4 of the mixture is vinegar , then volume of vinegar is 0.525 liters.

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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces