Ratio Problem Please help

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Math184738281

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I have tried to do this question but I don’t know what to do
 

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Math184738281 said:
I have tried to do this question but I don’t know what to do
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You put this under Advanced Math, which it is not. You can do it using basic arithmetic and a lot of thinking, or using basic algebra. Which way would you prefer? One good way to tell us that would have been to follow the guidelines and show us something you tried. If you had, we'd probably have given you some good hints by now ...
 
Thank you, Dr. Peterson, for turning it "right side up"!

Wait! Saying the ratio is "4: 7" is the same as saying that the red "lollies" are \(\displaystyle \frac{4}{4+ 7}= \frac{4}{11}\) of the total number of "lollies".

Saying that the ratio is "3: 4" is the same as saying that the red "lolliees" are \(\displaystyle \frac{3}{3+ 4}= \frac{3}{7}\) of the total number of "lollies".
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But \(\displaystyle \frac{3}{4}< \frac{4}{11}\). How could reducing the number of green "lollies" decrease the fraction of red "lollies"?​
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(And how did "lollies" become "frogs"? I have seen green frogs. I have never seen any red frogs!)​
 
HallsofIvy said:
Thank you, Dr. Peterson, for turning it "right side up"!

Wait! Saying the ratio is "4: 7" is the same as saying that the red "lollies" are \(\displaystyle \frac{4}{4+ 7}= \frac{4}{11}\) of the total number of "lollies".

Saying that the ratio is "3: 4" is the same as saying that the red "lolliees" are \(\displaystyle \frac{3}{3+ 4}= \frac{3}{7}\) of the total number of "lollies".
​
But \(\displaystyle \frac{3}{4}< \frac{4}{11}\). How could reducing the number of green "lollies" decrease the fraction of red "lollies"?​
​
(And how did "lollies" become "frogs"? I have seen green frogs. I have never seen any red frogs!)​
Click to expand...
Better check that.
 
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