Question

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?

Answer 1

Answer:

  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.