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Citrus2011 [14]
3 years ago
12

Antoine has a carnival booth at the school fair where students randomly select a ping pong ball from a can. He wants to place 5

red ping pong balls an n blue ping pong balls in the can. He also wants the probability of randomly choosing a blue ping pong ball to be 3/5.
Part A:
Write an equation that can be used to model this situation.

Part B:
Solve the equation and interpret the solution in terms of the context, determining if the solution is viable.
Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Answer:

(a)5n=3n+15

(b)n=7.5

Solution is not viable

Step-by-step explanation:

(a)

Total number of red ping pong balls=5

Total number of red ping pong balls=n

Now, probability of an event =\frac{Number of favourable events}{Total number of events}

Then, theprobability of randomly choosing a blue ping pong ball is

=\frac{n}{n+5}

Given that this probability is=\frac{3}{5}

Thus, we have that,

\frac{n}{n+5}= \frac{3}{5}\\ 5n=3(n+5)\\5n=3n+15

(b)

Solving, the above equation,

5n=3n+15\\2n=15\\n=7.5

This solution is not viable as, number of ping pong ball must be an integer and not a decimal number.

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