A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain. The shop run by the chain serves 502 customers day. About how many customers does the local shop serve in a day

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Answer:

about 112 customers

Step-by-step explanation:

we know that

To find out  how many customers does the local shop serve in a day, multiply the fraction 2/9 by the number of customers that the shop run serve in a day

Let

x ----> the number of customers that the shop run serve in a day

y ----> the number of customers that the local shop serve in a day

[tex]y=\frac{2}{9}x[/tex]

we have

x=502

substitute the value of x in the equation

[tex]y=\frac{2}{9}(502)[/tex]

[tex]y=111.6[/tex]

Round up

so

about 112 customers

ustsr

The local shop serves about 112 customers in a day

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.

[tex]\texttt{ }[/tex]

This problem is about Percentage.

A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain.

[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times \texttt{National Chain's customers}[/tex]

[tex]\texttt{ }[/tex]

The shop run by the chain serves 502 customers day.

[tex]\texttt{National Chain's customers} = 502[/tex]

[tex]\texttt{ }[/tex]

[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times \texttt{National Chain's customers}[/tex]

[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times 502[/tex]

[tex]\texttt{Local Shop's customers} = 111\frac{5}{9}[/tex]

[tex]\texttt{Local Shop's customers} \approx 112[/tex]

[tex]\texttt{ }[/tex]

Conclusion:

The local shop serves about 112 customers in a day

[tex]\texttt{ }[/tex]

Learn more

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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

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