Emily made a batch of cookies. she sold 2/3 of them and gave 1/5 of the remainder to her friends. if she had 60 cookies left, how many cookies did she originally make?

She sold 2/3 of them and gave 1/5 of the remainder to her friends.

Let x = the number of cookies she originally make

She sold of orginally made cookies

So its

is sold so she is left with of cookies

She gave 1/5 of the remainder to her friends

So its *

She gave to her friends

she had 60 cookies left

Number of cookies = cookies sold + cookies gave to friends + cookies left

x =

Take common denominator and combine like terms

x =

x =

Multiply by 15 on both sides

Divide by 4 from both sides

She originally made 225 cookies

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

the best estimate is 3 because   8 can only go into 24 3 times