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?

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Answer 1 · 2016-11-19T01:41:36

No

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

#Q/D=5/3#

and now we add some coins. I'll add 15 to each pile, which gives us:

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

Is #5/3=20/18#?

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

And so no, the ratio didn't stay the same:

#5/3!=3.333/3#