Verified Answer :
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 \(\frac{3}{4}\) of them
Than
\(Number\ of\ cookies\ left = \frac{3\times 252}{4}\)
= 189
Number of cookies left after sold = 252 - 189
= 63
\(\frac{3}{9}\) of the remaining cookies were given to P.T.A members .
Than
\(Number\ of\ cookies\ left\ when\ given\ to\ P.T.A\ members = \frac{3\times 63}{9}\)
= 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.
\(Each\ student\ get\ cookies =\frac{42}{12}\)
= 3.5
Therefore the 3.5 cookies each student gets.
3¹/₂ or 3.5 cookies
Further explanation
Given:
- Mr. Chan made 252 cookies for the Annual Fifth Grade Class bake sale.
- They sold \(\frac{3}{4}\) of them and \(\frac{3}{9}\) 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.
Question:
How many cookies will each student get?
The Process:
Step-1
\(Let \ us \ prepare \boxed{252 \div 4 = 63}\)
Then, let us create a suitable diagram as follows:
\(\boxed{63}\boxed{63}\boxed{63}\boxed{63} = 252 \ cookies}\)
So, 1 unit of diagram is equal to 63 cookies.
- Mr. Chan sold \(\frac{3}{4}\) of them, that is \(\boxed{ \ 3 \ units \times 63 \ cookies = 189 \ cookies \ sold \ }\)
- The remaining cookies are \(\boxed{ \ 252 - 189 = 63 \ cookies \ }\), or 1 unit left of the diagram above.
Step-2
\(Let \ us \ prepare \boxed{63 \div 9 = 7}\)
Then, let us create a suitable diagram as follows:
\(\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7} = 63 \ cookies}\)
So, 1 unit of diagram is equal to 7 cookies.
- Next, \(\frac{3}{9}\) of the remaining cookies were given to P.T.A. members, that is \(\boxed{ \ 3 \ units \times 7 \ cookies = 21 \ cookies \ }\).
- The last number of cookies remaining was \(\boxed{ \ 6 \ units \times 7 \ cookies = 42 \ cookies \ }\) or \(\boxed{ \ 63 - 21 = 42 \ cookies \ }\).
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.
\(\boxed{ \ 42 \ cookies \div 12 \ students \ }\)
\(\boxed{ \ = \frac{42}{12} \ }\)
The numerator and denominator are equally divided by 6.
\(\boxed{ \ = \frac{42 \div 6}{12 \div 6} \ }\)
\(\boxed{ \ = \frac{7}{2} \ }\)
\(\boxed{ \ = \frac{6}{2} + \frac{1}{2} \ }\)
\(\boxed{\boxed{ \ = 3\frac{1}{2} \ }}\)
Thus, each student will get \(3\frac{1}{2}\) cookies.
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