The ratio of boys to girls in a group is 6:1. If there are 45 more boys than girls, work out how many people there are in total.

Number of boys is 54 and number of girls is 9.

Step-by-step explanation:

Given,

The ratio of boys to girls in a group is 6:1.

And there are 45 more boys than girls.

To find the number of boys and girls.

Let,

Number of boys = 6x

Number of girls = x

According to the problem,

6x = 45+x

or, 6x - x = 45

or, 5x = 45

or, x =

or, x = 9

So,

Number of boys = 6×9 = 54

Number of girls = 9

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step-by-step explanati∵∵∴∴on:

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.