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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