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Start by setting up a factor tree for each number.
Factor in anyway that you'd like.
At the end, circle all prime numbers.
Remember, prime numbers are numbers
with only 2 factors, 1 and the number itself.
Now write these factors in least to greatest
multiplying them separate rows.
Circle factors they have in common.
Since 3 pairs of two's match up, multiply by 2 three times to get 8.
So the GCF is 8.
For quarters we have:
Where,
x: number of quarters
Clearing x we have:
For nickels we have:
Where,
y: number of nickels
Clearing y we have:
Then, the ratio of quarters to nickels is:
Simplifying we have:
Answer:
The ratio of quarters to nickels in a dollar is: