Jordan

Jordan wants to bring in cookie cakes to share with his 23 classmates for his birthday. His mom is willing to buy no more than 6 cookie cakes and Jordan must share the cakes equally between his classmates (and himself). Answer the questions to help Jordan decide how many cakes to ask for. Use a model and an equation to support each question. If Jordan asks his mom for one cookie cake, what fraction of the cake will each classmate get?

Correct answer:

f =  0.25

Step-by-step explanation:

$$\begin{gathered} n=23+1=24 \\ 0<c<7 \\ 6=2\cdot 3 \\ 24=2^3\cdot 3 \\ \text{GCD}(6,24)=2\cdot 3=6 \\ c=GCD(6,n)=GCD(6,24)=6 \\ f={\displaystyle \frac{c}{n}}={\displaystyle \frac{6}{24}}={\displaystyle \frac{1}{4}}=0.25 \end{gathered}$$

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