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A garage contains black, silver and blue

cars. Of the cars, 1/6 are black, 3/4 are silver
and the rest are blue. What is the ratio of
black to silver to blue cars, in its simplest
form?

1 Answer

7 votes

Answer:

Let's assume there are a total of x cars in the garage.

From the problem, we know that 1/6 of the cars are black and 3/4 of the cars are silver. That means:

Number of black cars = (1/6) * x

Number of silver cars = (3/4) * x

We also know that the rest of the cars are blue. Therefore:

Number of blue cars = x - [(1/6) * x + (3/4) * x]

Number of blue cars = x - (5/12) * x

Number of blue cars = (7/12) * x

To find the ratio of black to silver to blue cars, we need to express each quantity as a fraction of the total number of cars x:

Number of black cars / x = (1/6) * x / x = 1/6

Number of silver cars / x = (3/4) * x / x = 3/4

Number of blue cars / x = (7/12) * x / x = 7/12

Therefore, the ratio of black to silver to blue cars is:

1/6 : 3/4 : 7/12

To simplify this ratio, we can first convert all the fractions to have the same denominator:

1/6 : 9/12 : 7/12

Then, we can simplify the fractions:

1/6 : 3/4 : 7/12

2/12 : 9/12 : 7/12

1/6 : 3/4 : 7/12

Therefore, the ratio of black to silver to blue cars, in its simplest form, is 1/6 : 3/4 : 7/12.

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