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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Keywords: Mr. Chan, made, 252 cookies, the Annual Fifth Grade Class Bake Sale, they sold 3/4 of them, 3/9 of the remaining, were given to, P.T.A members, allowed, the 12 student helper, to divide, left equally, how many, each student get
, 3.5, 3¹/₂
