SOLUTION: marnie has 18 coins in the ratio of 1 dollar and 2 quarter. what coins does she spend to give a new ratio of dollars to quarters of 1:3? Give all possible answers.

Question 1029239: marnie has 18 coins in the ratio of 1 dollar and 2 quarter. what coins does she spend to give a new ratio of dollars to quarters of 1:3? Give all possible answers.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
There are twice as many quarters as dollars
Let = number of dollars

There are quarters
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The only way to spend and get the ratio
down to
is to spend dollars or both dollars and quarters
------------------
I can say:

Multiply both sides by

Spend just 2 dollars
----------------------
Now I can say:

Any whole number solution is good as
long as and
------------------
and
works
spend 4 dollars and 6 quarters
d/q = 2/6
-----------------------------
and
works
spend 5 dollars and 9 quarters
d/q = 1/3
------------------------------
and
works
spend 3 dollars and 3 quarters
d/q = 3/9
------------------------------
I think that's it
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