Question

The ratio of cassette to compact disc is 10 to 3 and the number of cassettes is 10 less than 5 times the number of compact discs. How many cassettes are there

Answer 1

There are 20 cassettes.

Step-by-step explanation:

Given,

Ratio of cassette to compact disc = 10:3

Let,

the number of cassettes = 10x

Number of compact disc = 3x

According to given statement;

the number of cassettes is 10 less than 5 times the number of compact discs.

10x = 5(Number of CD) - 10

$10x=3(5x)-10 \\10x=15x-10\\10=15x-10x\\10=5x\\5x=10$

Dividing both sides by 5

$\frac{5x}{5}=\frac{10}{5}\\x=2$

Number of cassettes= 10x = 10(2) = 20

There are 20 cassettes.

Keywords: variable, ratio

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