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Kendra spent ⅓ of her allowance on a book and ⅖ on a snack. If she had four dollars remaining after purchasing a book and snack, what was the total amount of her allowance?

Respuesta :

Answer: 15$

Step-by-step explanation:

Given

Kendra spent one-third of allowance on a book and two-fifth on snack.

If she had four dollar remaining after purchase

Suppose x is the original amount

[tex]\therefore x-\dfrac{x}{3}-\dfrac{2x}{5}=4\\\\\Rightarrow \dfrac{15x-5x-6x}{15}=4\\\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]

Thus, 15$ was her total allowance.