The local library has a children’s section with picture books and chapter books. The ratio is 2:3. If there are a total of 500 books in the children’s section, then how many chapter books are in the section?

there are 300 chapter books in the children's section

Step-by-step explanation:

the way you'd solve these kinds of problems is to turn it into an equation.

the ratio of 2:3 with a total of 500

becomes

2x + 3x = 500

2x + 3x = 500

combine like terms

5x = 500

divide both sides of the equation by 5

5x/5 = 500/5

x = 100

now, substitute x in the original equation.

2x + 3x = 500

200 + 300 = 500

There are 300 chapter books

6^2 or 36

step-by-step explanation:

6000n

6×1000n

6×10^3 n

so we need 6n need to be a perfect cube

so n has to be 6^2 so that 6n is 6^3

what i'm saying is if you let n be 6^2 you have 6^3×10^3 or 60^3 which is a perfect cube