At Katy Perry concert, the ratio of the number of boys tot the number of girls on 4:5. If there are 250 more girls than boys how many boys are at the concert?

1000 boys

Step-by-step explanation:

The ratio of the number of boys to girls is 4:5.

Every time you multiply 4 and 5 by the same whole number, you get a possible number of boys and girls in the same ratio.

There may be

4 boys and 5 girls, or

8 boys and 10 girls (multiplying 4 and 5 by 2), or

12 boys and 15 girls (multiplying 4 and 5 by 3), or

400 boys and 500 girls (multiplying 4 and 5 by 100),

but all these numbers are too low for there to be a difference of 250 between the numbers of boys and girls. Since we don't know the numbers of boys and girls, but know the ratio is 4:5, then we know that the ratio is also 4x:5x, by multiplying both numbers of boys and girls in the ratio by x.

There are 250 more girls than boys, so

5x - 4x = 250

x = 250

The number of boys is 4x.

4(250) = 1000

1000 boys

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