Critical Assessment

Algebra Level 2

A group of critics were to review a movie if it was good or bad, giving it a positive \color{#3D99F6}{\text{positive}} review or a negative \color{#D61F06}{\text{negative}} review.

95 % 95\% of the group gave the movie positive \color{#3D99F6}{\text{positive}} reviews, while the other 4 4 critics gave negative \color{#D61F06}{\text{negative}} reviews.

How many critics were in the group?


The answer is 80.

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2 solutions

Kaizen Cyrus
May 14, 2019

The other 4 4 critics who gave negative \color{#D61F06}{\text{negative}} reviews were the remaining 5 % 5\% of the group.

5 x 100 = 4 x = 400 5 x = 80 \large \begin{aligned} \frac{5x}{100} & = 4 \\ x & = \frac{400}{5} \\ x & = 80 \end{aligned}

There were 80 \boxed{80} critics in the group.

Kyle T
May 14, 2019

( n 4 ) / n = 0.95 (n-4)/n = 0.95

n = 80 n = 80

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