Susan 3

Susan has 90 sweets, 36 chocolates, and 60 jellies.
She wants to pack the items equally into goodie bags without any items left over. How many bags will she pack maximum? How many sweets, chocolates, and jellies will be in one bag?

Correct answer:

n =  6
a =  15
b =  6
c =  10

Step-by-step explanation:

$$\begin{gathered} 90=2\cdot 3^2\cdot 5 \\ 36=2^2\cdot 3^2 \\ 60=2^2\cdot 3\cdot 5 \\ \text{GCD}(90,36,60)=2\cdot 3=6 \\ n=GCD(90,36,60)=6 \end{gathered}$$

$a=90/n=90/6=15$

$b=36/n=36/6=6$

$c=60/n=60/6=10$

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