Question

Ayden earned a grade of 89% on his multiple choice history final that had a total of

Answer 1

Answer:

178

Step-by-step explanation:

Method 1: Set up a proportion

Set up an equation of the form:

\frac{\color{red}{\text{part}}}{\color{orange}{\text{whole}}}=

whole

part

​  

=

\,\,\frac{\color{blue}{\text{percent}}}{100}

100

percent

​  

 

Assign the variable xx to the unknown value:

\color{red}{x}=

x=

\,\,\color{red}{\text{part}}

part

The question asks what \textit{part}part of the total questions is 89%

Substitute the known values with the numbers given in the problem, and the unknown value with xx:

\frac{\color{red}{x}}{\color{orange}{200}}=

200

x

​  

=

\,\,\frac{\color{blue}{89}}{100}

100

89

​  

 

Solve for xx:

100\cdot\color{red}{x}=

100⋅x=

\,\,\color{orange}{200}\cdot\color{blue}{89}

200⋅89

Cross multiply

\frac{100x}{100}=

100

100x

​  

=

\,\,\frac{17800}{100}

100

17800

​  

 

Divide both sides by 100

178

Simplify

Method 2: Convert to decimal and multiply

{89}{100}=0.89

89%=  

100

89

​  

=0.89

Move decimal 2 places to the left

{Multiply result by the total:}

Multiply result by the total:

0.89{200}=

0.89⋅200=

178

number

percent

178

89%

200

100%

Answer 2

Answer:

178

Step-by-step explanation:

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