Write an equation for this scenario

Elsa and Ellie were trading stickers. Elsa has three times as many stickers as Ellie, however after Elsa’s gives Ellie 5 stickers they both have the same amount. How many stickers did Elsa and Ellie have originally?

1 answer

Let x be the initial number of stickers Elsa had and y be the initial number of stickers Ellie had.

According to the scenario:
x = 3y (Elsa has three times as many stickers as Ellie)
x - 5 = y + 5 (After Elsa gives Ellie 5 stickers, they both have the same amount)

Substitute the value of x from the first equation into the second equation:
3y - 5 = y + 5
2y = 10
y = 5

Therefore, Ellie originally had 5 stickers.
And Elsa originally had:
x = 3y
x = 3(5)
x = 15

Elsa originally had 15 stickers.
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