# Roger is planning a picnic, He will invite two times as many boys as girls. If he invites 18 people, how many boys and how many girls will get invitations?

He will invite 6 girls and 12 boys.

So you have:

So, he will invite 6 girls and 12 boys.

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If Roger invites 18 people to the picnic and plans to invite two times as many boys as girls, then he will invite 12 boys and 6 girls.

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Let's denote the number of girls Roger invites as ( x ). Since he invites two times as many boys as girls, the number of boys he invites will be ( 2x ).

Given that he invites a total of 18 people, the sum of the number of boys and girls must equal 18:

[ x + 2x = 18 ]

Solving for ( x ):

[ 3x = 18 ]

[ x = \frac{18}{3} ]

[ x = 6 ]

So, Roger will invite 6 girls and ( 2x = 2 \times 6 = 12 ) boys. Therefore, he will invite 6 girls and 12 boys.

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