Answered

mr.chan made 252 cookies for the annual fifth grade class bake sale . they sold 3/4 of them and 3/9 of the remaining cookies were given to P.T.A members . mr.chan allowed the 12 student helper to divide the cookies that are left equally how many cookies will each student get. please help !!!! hurry i need help helppppppppppppppppppppppppppppppppppppppppppp

Sagot :

Answer

Find out the  how many cookies will each student get.

To prove

As given

mr.chan made 252 cookies for the annual fifth grade class bake sale .

they sold [tex]\frac{3}{4}[/tex] of them

Than

[tex]Number\ of\ cookies\ left = \frac{3\times 252}{4}[/tex]

                                                = 189

Number of cookies left after sold = 252 - 189

                                                       = 63

[tex]\frac{3}{9}[/tex] of the remaining cookies were given to P.T.A members .

Than

[tex]Number\ of\ cookies\ left\ when\ given\ to\ P.T.A\ members = \frac{3\times 63}{9}[/tex]

                                                                                               = 21

Number of cookies left after giving to P.T.A members = 63 - 21

                                                                                          = 42

As given

mr.chan allowed the 12 student helper to divide the cookies that are left equally.

[tex]Each\ student\ get\ cookies =\frac{42}{12}[/tex]

                                                     = 3.5

Therefore the 3.5 cookies each student gets.



BladeRunner212id

3¹/₂ or 3.5 cookies

Further explanation

Given:

  • Mr. Chan made 252 cookies for the Annual Fifth Grade Class bake sale.
  • They sold [tex]\frac{3}{4}[/tex] of them and [tex]\frac{3}{9}[/tex] of the remaining cookies were given to P.T.A members.
  • Mr. Chan allowed the 12 student helper to divide the cookies that are left equally.

Question:

How many cookies will each student get?

The Process:

Step-1

[tex]Let \ us \ prepare \boxed{252 \div 4 = 63}[/tex]

Then, let us create a suitable diagram as follows:  

[tex]\boxed{63}\boxed{63}\boxed{63}\boxed{63} = 252 \ cookies}[/tex]  

So, 1 unit of diagram is equal to 63 cookies.

  • Mr. Chan sold [tex]\frac{3}{4}[/tex] of them, that is [tex]\boxed{ \ 3 \ units \times 63 \ cookies = 189 \ cookies \ sold \ }[/tex]
  • The remaining cookies are [tex]\boxed{ \ 252 - 189 = 63 \ cookies \ }[/tex], or 1 unit left of the diagram above.

Step-2

[tex]Let \ us \ prepare \boxed{63 \div 9 = 7}[/tex]

Then, let us create a suitable diagram as follows:  

[tex]\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7} = 63 \ cookies}[/tex]  

So, 1 unit of diagram is equal to 7 cookies.

  • Next, [tex]\frac{3}{9}[/tex] of the remaining cookies were given to P.T.A. members, that is [tex]\boxed{ \ 3 \ units \times 7 \ cookies = 21 \ cookies \ }[/tex].
  • The last number of cookies remaining was [tex]\boxed{ \ 6 \ units \times 7 \ cookies = 42 \ cookies \ }[/tex] or [tex]\boxed{ \ 63 - 21 = 42 \ cookies \ }[/tex].

Step-3

Mr. Chan allowed the 12 student helper to divide the cookies that are left equally.

Let us calculate how many cookies will each student get.

[tex]\boxed{ \ 42 \ cookies \div 12 \ students \ }[/tex]

[tex]\boxed{ \ = \frac{42}{12} \ }[/tex]

The numerator and denominator are equally divided by 6.

[tex]\boxed{ \ = \frac{42 \div 6}{12 \div 6} \ }[/tex]

[tex]\boxed{ \ = \frac{7}{2} \ }[/tex]

[tex]\boxed{ \ = \frac{6}{2} + \frac{1}{2} \ }[/tex]

[tex]\boxed{\boxed{ \ = 3\frac{1}{2} \ }}[/tex]

Thus, each student will get [tex]3\frac{1}{2}[/tex] cookies.

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