At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram. The ratio shown in the diagram is 5 chocolate cookies to 3 oatmeal cookies. How many oatmeal cookies are there?

24

Step-by-step explanation:

the ratio is 40 cookies: ?? oatmeal cookies

5:3

5 times what will give us 40

well 40/5 is 8 so it is 8

whatever we do to one side we have to do to another s 3 x 8 is 24.

5:3 is equivalent to 40:24

There are 24 oatmeal cookies.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

the radius is 2 times the diameter.

step-by-step explanation: