There are many toys in a kindergarten. The ratio of the number of dolls to the number of balls to the number of cars is 7:8:5. If the total number of dolls, balls, and cars is 80, then how many of each type of toy are there?

Question

Mathematics

Coleman Herman

2 March, 05:59

There are many toys in a kindergarten. The ratio of the number of dolls to the number of balls to the number of cars is 7:8:5. If the total number of dolls, balls, and cars is 80, then how many of each type of toy are there?

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Answers (1)

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Howard Moyer · Answer 1

Number of Dolls = 28.

Number of Balls = 32.

Number of Cars = 20.

Step-by-step explanation:

Given the ratio of the number of dolls to the number of balls to the number of cars is 7 : 8 : 5.

Suppose the highest common factor of the three numbers be 'X'.

Then, Number of Dolls = 7x

Number of Balls = 8x

Number of Cars = 5x

Given the total number of dolls, balls, and cars is 80.

It means 7x + 8x + 5x = 80.

20x = 80

x = 80/20 = 4.

So, Number of Dolls = 7*4 = 28.

Number of Balls = 8*4 = 32.

Number of Cars = 5*4 = 20.