Priti's mother bakes c chocolate chip cookies for Priti to share with her classmates. In first period, Priti gives away 1/4 of all her cookies. In second period, she gives away 1/5 of her remaining cookies. In third period, she gives away 2/3 of her remaining cookies. Which of the following expressions gives the number of cookies, in terms of c, that Priti still has at the end of third period?

A. 3c/16
B. c/5
C. 9c/20
D. c/2

Respuesta :

Lanuel

An expression which gives the number of cookies that Priti still has at the end of third period is 2C/5.

How to determine the expression?

For the first period, we have:

First period = 1/4 × C

First period = C/4.

Remaining = C - C/4 = 3C/4

For the second period, we have:

Second period = 1/5 × 3C/4

Second period = 3C/20.

Remaining = 3C/4 - 3C/20 = 12C/20

For the third period, we have:

Third period = 2/3 × 12C/20

Third period = 24C/60.

Third period = 2C/5.

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The following expressions give the number of cookies, in terms of c, that Priti still has at the end of the third period are B. c/5.

How do you figure out the expression?

  • The first time period includes:
  • Initial = 1/4 * C
  • The first period equals C/4.
  • What's left: =C-C/4=3C/4
  • The second period is as follows:
  • Period two equals 1/5*3C/4.

  1. 3C/20 is the second period.
  2. The third period is as follows:
  3. The third period is equal to 2/3 * 12C/ 20.
  4. Period three = 24C/60.
  5. Third semester = 2C/5.
  6. Here is further information on expressions:
  7. Number Left = 3C/4 - 3C/20 = 12C/2

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