The ratio of boys to girls in a group is 2:1. If there are 24 more boys than girls, work out how many boys there are.

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Step-by-step explanation:

let the ratio be= 2:1

let the boys be= 2x

let the girls be= 1x=x

x+24=2x

x-2x=-24

-x=-24

so the minus sign will cut

x=24

2x=2×24

Boys in the class are 48

hope it helps you

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)