Jordan

Jordan wants to bring in cookie cakes to share with his 23 classmates for his birthday. His mom is willing to buy up to six cookie cakes, and Jordan must share the cakes equally with 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:

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

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