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A gym runs two fitness classes, spinning and circuits. On Sunday, 200 people visited the gym. 40 peoples attended the spinning classes, 30 people attended both classes. 42 peoples did not attend either class. Find the people who attended circuit’s classes?

A gym runs two fitness classes, spinning and circuits. On Sunday, 200 people visited the gym. 40 peoples attended the spinning classes, 30 people attended both classes. 42 peoples did not attend either class. Find the people who attended circuit’s classes? Correct Answer 148

Given:

Total people = 200

People attended the spinning classes = 40

People attended both classes = 30

People not attend either class = 42

Concept:

Total People = People attended only spinning + people attended only circuits + people attended both + People attended either class.

Venn Diagram.

Calculation:

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Suppose the people attended the circuits only = x

People attended spinning only = (40 – 30) = 10

According to question –

200 = 10 + 30 + x + 42

⇒82 + x = 200

⇒ x = 200 – 82

⇒ x = 118

∴ The people who attended the circuits = x + 30

⇒ 30 + 118

⇒ 148

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