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A container contains a large unspecified number of​ ping-pong balls. A student takes 80 balls from the​ container, marks them with a blue​ dot, returns the marked balls to the​ container, and thoroughly mixes the balls. She then takes 80 balls again from the container. Of​ these, 16 have blue dots. She now wants to use this data to estimate the total number of​ ping-pong balls in the container. What is an estimate for the number of​ ping-pong balls in the​ container?

Respuesta :

Answer:

400 ping pong balls

Step-by-step explanation:

Let the total number of ping pong balls =x

Out of x ping pong balls, 80 are marked with a blue dot

Out of 80 ping pong balls, 16 are marked with a blue dot.

Expressing it as a ratio:

x:80=80:16

[tex]\frac{x}{80}=\frac{80}{16}\\ 16x=80X80\\x=6400 \div 16\\x=400[/tex]

There are an estimate of 400 ping pong balls in the container.

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