4590.72 meters of cloth is needed to make 3 and ³/₅ times as many shirts.
Further explanation
Order of Operations in Mathematics follow this following rule :
- Parentheses
- Exponents
- Multiplication and Division
- 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 clothing factory uses 1,275.2 meters of cloth a week to make shirts.
[tex]\texttt{Initial Cloth Needed} = 1275.2 ~ \texttt{meters}[/tex]
The cloth that is needed to make 3 and ³/₅ times as many shirts will be:
[tex]\texttt{Final Cloth Needed} = ( 3 + \frac{3}{5} ) \times 1275.2 ~ \texttt{meters}[/tex]
[tex]\texttt{Final Cloth Needed} = ( 3 \times 1275.2 ~ \texttt{meters} ) + ( \frac{3}{5} \times 1275.2 ~ \texttt{meters} )[/tex]
[tex]\texttt{Final Cloth Needed} = ( 3825.6 ~ \texttt{meters} ) + ( 765.12 ~ \texttt{meters} )[/tex]
[tex]\texttt{Final Cloth Needed} = \boxed {4590.72 ~ \texttt{meters}}[/tex]
Conclusion :
4590.72 meters of cloth is needed to make 3 and ³/₅ times as many shirts.
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 , cookies , chocolate , chip , paper , fourth , pieces
