vanessa1920
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A pie is cut in such a way that one piece, which is one quarter of the pie, is twice as large as each of the
other pieces. How many pieces of pie are there?
A 4
B 5
C 6
D 7

Respuesta :

cdog999

Answer:

D

Step-by-step explanation:

1/4 of the pie is one piece. This leaves 3/4 of the pie. Each remaining piece is 1/2 of the larger quarter piece. The smaller pieces are 1/8 of the pie.

The fraction 3/4 = 6/8.

This makes 6 smaller pieces. each of 3 quarters is split in half.

6 + 1 = 7.

7 pieces in all.

If you do not like arithmetic, draw a picture. Split the pie in quarters. Cut all except for one of them in half. This gives 7 pieces.

We take the information from the text given, to find the number of pieces.

We have that:

  • One piece is 1/4 of the entire pie.
  • The other n pieces are each 1/8 of the pie.

Doing this, we get that the number of pieces is 7 pieces, option D.

Sum:

The entire fraction pie is:

[tex]\frac{1}{4} + \frac{1}{8}n[/tex]

The entire fraction is 1, so:

[tex]\frac{1}{4} + \frac{1}{8}n = 1[/tex]

How many pieces of pie are there?

We have to solve the equation for n, so:

[tex]\frac{1}{4} + \frac{1}{8}n = 1[/tex]

[tex]\frac{n}{8} = 1 - \frac{1}{4}[/tex]

[tex]\frac{n}{8} = \frac{4}{4} - \frac{1}{4}[/tex]

[tex]\frac{n}{8} = \frac{3}{4}[/tex]

[tex]4n = 3*8[/tex]

[tex]n = \frac{24}{4}[/tex]

[tex]n = 6[/tex]

6 pieces at 1/8, and the 7th at 1/4. Thus, there are 7 pieces, and the correct answer is given by option D.

A similar question is given at https://brainly.com/question/21359576

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