Order of Operations in Mathematics follow this following rule :
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!
A restaurant's small salt shakers contain 0.6 ounces of salt.
[tex]\texttt{Small Shaker's Capacity} = S = 0.6 ~ \texttt{ounces}[/tex]
Its large shakers hold twice as much.
[tex]\texttt{Large Shaker's Capacity} = L = 2 \times \texttt{Small Shaker's Capacity}[/tex]
[tex]\texttt{Large Shaker's Capacity} = L = 2 \times 0.6 ~ \texttt{ounces}[/tex]
[tex]\texttt{Large Shaker's Capacity} = L = 1.2 ~ \texttt{ounces}[/tex]
The shakers are filled from a container that has 18.6 ounces of salt.
[tex]\texttt{Total Mass of Salt} = 18.6 ~ \texttt{ounces}[/tex]
If 8 large shakers are filled , then
[tex]\texttt{Total Mass of Salt} = (8 \times L) + (\texttt{Number of Small Shakers} \times S)[/tex]
[tex]18.6 = (8 \times 1.2) + (\texttt{Number of Small Shakers} \times 0.6)[/tex]
[tex]18.6 = 9.6 + (\texttt{Number of Small Shakers} \times 0.6)[/tex]
[tex]18.6 - 9.6 = (\texttt{Number of Small Shakers} \times 0.6)[/tex]
[tex]9 = (\texttt{Number of Small Shakers} \times 0.6)[/tex]
[tex]\texttt{Number of Small Shakers} = 9 \div 0.6[/tex]
[tex]\texttt{Number of Small Shakers} = \boxed {15}[/tex]
Grade: Middle School
Subject: Mathematics
Chapter: Order Of Operations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent
