Fluffy the bunny ate 1/3 of a carrot in the morning, and she ate some more at night. By the end of the day, she still had 1/4 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?

Respuesta :

Answer:

She ate 5/12 of a carrot at night.

Step-by-step explanation:

Givens

  • The bunny ate 1/3 of a carrot in the morning.
  • By the end of tha day, she had 1/4 of a carrot.
  • She ate some in the night.

So, according to the problem 1/4 represents the total after eating two times, the first one was 1/3 and the second one will be represented by [tex]x[/tex], where 1 represents the complete carrot

[tex]1/3+x+1/4=1[/tex]

Then, we solve for [tex]x[/tex],

[tex]x=1-\frac{1}{4}-\frac{1}{3}=\frac{12-3-4}{12} =\frac{5}{12}[/tex]

Therefore, she ate 5/12 of a carrot at night.

Bunny ate carrot at day and night both. Fluffy the bunny ate [tex]\frac{5}{12}[/tex] part of carrot at night.

Given:

The bunny ate [tex]\dfrac{1}{3}[/tex] part of a carrot in the morning.

Let the bunny ate x part of carrot at night .

The carrot left by the day end is [tex]\dfrac{1}{4}[/tex].

The total carrot eaten by the bunny is,

[tex]\dfrac{1}{3}+x=1-\dfrac{1}{4}\\\dfrac{1}{3}+x=\dfrac{3}{4}[/tex]

Use general algebra of fractions to get the value of x. So, the value of x can be calculated as,

[tex]\dfrac{1}{3}+x=\dfrac{3}{4}\\x=\dfrac{3}{4}-\dfrac{1}{3}\\x=\dfrac{9-4}{12}\\x=\dfrac{5}{12}[/tex]

Therefore, the carrot eaten by Fluffy the bunny in the night is [tex]\dfrac{5}{12}[/tex].

Learn more about Fractions here:

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