Answer:
1 : 1 : 1
Explanation:
You want the ratio of nickels to dimes to quarters if 2/6 of 120 coins are nickels, 2/6 are dimes, and the rest are quarters.
Ratios
The fraction that are quarters is ...
1 - 2/6 - 2/6 = 1 - 4/6 = 2/6
Then the ratio of nickels to dimes to quarters is ...
2/6 : 2/6 : 2/6
We can simplify this ratio by multiplying it by 3:
3(2/6) : 3(2/6) : 3(2/6) = 1 : 1 : 1
The ratio of nickels to dimes to quarters is 1 : 1 : 1.
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Additional comment
We can find the number of nickels to be 120·(2/6) = 40. The number of dimes is the same fraction, so the same number. When those 40+40=80 coins are subtracted from 120, we find there are also 40 quarters. For this problem, we don't actually need to know those values.
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