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Antonio is buying a stereo, speakers, and amplifiers for his car audio system. He is choosing among 4 models of stereos and 3 styles of speakers. If he has 36 different choices, how many kinds of amplifiers must there be?

2
3
4
12

User MkV
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2 Answers

2 votes
The answer of the question is 3
User Alex Polkhovsky
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4 votes

Answer:

Let the number of kinds of amplifiers be "a".

Antonio has 4 choices for the stereo and 3 choices for the speakers. Therefore, the total number of different choices he can make is:

4 (choices of stereos) x 3 (choices of speakers) x a (choices of amplifiers) = 12a

We are given that he has 36 different choices, so:

12a = 36

Dividing both sides by 12, we get:

a = 3

Therefore, there must be 3 kinds of amplifiers.

The answer is (B) 3.

User GBusato
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