Mr. Chan made 252 cookies for the Annual Fifthe Grade Class Bake Sale. They sold 3/4 of them, and 3/9 of the remaining cookies were given to PTA. members. Mr. Chan allowed the 12 student helpers to divide the cookies that were left equally. How many cookies will each student get?

Respuesta :

252 x (3/4) = 189 sold 252-189=63 left 63 x (3/9) = 21 given 63 - 21 = 42 left 42/12 = 3.5 cookies pre student

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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