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a book store surveyed 100 customers about their favorite type of book. if 32 costumers preferred science fiction how many customers out of 1500 could be expected to prefer science fiction

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Luv2Teach

Answer:

480

Step-by-step explanation:

This is a problem you can solve by using proportions.  If 32 out of 100 prefer sci-fi, then the ratio representing that looks like this:

[tex]\frac{sci-fi}{total}:\frac{32}{100}[/tex]

Since you have the sci-fi "stuff" on top and the "total number of customers" on the bottom, the next ratio you set up with your unknown needs to follow the same set up.  You are asked how many customers (x) out of 1500 (total number of customers) would prefer sci-fi?  That ratio would look like this in the proportion:

[tex]\frac{sci-fi}{total}:\frac{32}{100}[/tex]Ă—[tex]\frac{x}{1500}[/tex]

Cross multiply to get 100x = 48,000

Solve for x by dividing both sides by 100:

x = 480

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