Sophia has three stickers for every two stickers that Ethan has. If Sophia gives Ethan 16 of her stickers, then Ethan will have twice as many stickers as Sophia has How many stickers do Sophia and Ethan have all together?

  60

Step-by-step explanation:

Let s represent the number of stickers Sophia has. Then the number Ethan has is (2/3)s. The transfer of 16 stickers can be described by the equation ...

  (s -16)/(2/3s +16) = 1/2 . . . . . sophia/ethan = 1/2 after the transfer

  2s -32 = 2/3s +16 . . . . . . . . .cross multiply

  4/3s = 48 . . . . . . . . . . . . . . . add 32-2/3s

  s = (48)(3/4) = 36 . . . . . . . . .multiply by 3/4

Together, the total number of stickers held is s +(2/3)s = (5/3)s.

  5/3s = (5/3)(36) = 60 . . . . . total of Sophia's and Ethan's stickers

Together, Sophia and Ethan have 60 stickers.

the answer on e2020 is

10

4/5

3/5

4/3

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet