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She originally made 225 cookies

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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step-by-step explanation: