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The ratio of quarters to dimes in a coin collection is 5:3. You add the same number of new quarters as dimes to the collection. Is the ratio of quarters to dimes still 5:3?

Answer 1

Abigail Allen

I'll write it this way: 5 Quarters and 3 Dimes. Let's do this this way.

#Q/D=5/3#

and now for the coin addition: I'll add 15 to each pile, giving us:

#(5+15)/(3+15)=20/18#

Is #5/3=20/18#?

#20/18=10/9~=3.333/3#

Consequently, no, the ratio changed:

#5/3!=3.333/3#

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Answer 2

Jameson Allen

No, the ratio of quarters to dimes will not remain 5:3 after adding the same number of new quarters as dimes to the collection. Since an equal number of quarters and dimes are added, the ratio of quarters to dimes will become 6:4 or simplified to 3:2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.