SOLUTION: 37.5 of the customers ordered banana splits. What fraction of the people ordered banana splits. I got 3/8 for that. If 6 people had banana splits, how many people are at the ice

Question 1121705: 37.5 of the customers ordered banana splits.
What fraction of the people ordered banana splits. I got 3/8 for that.
If 6 people had banana splits, how many people are at the ice cream store? I�m not sure
What percentage of customers did not purchase banana splits? I�m not sure
Thank you for your help!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you mean 37.5% of the customers ordered banana splits, then yes that converts to 3/8.

Subtract the percentage from 100% to get the percent of people who didn't order banana splits. So, 100% - 37.5% = 62.5%

If x is the total number of people, then 0.375 times that amount will get you 6. This means
x*0.375 = 6
x*0.375/0.375 = 6/0.375 <--- dividing both sides by 0.375
x = 16

Or you can use the fraction format
(3/8)*x = 6
(8/3)*(3/8)x = 6*(8/3) <--- multiplying both sides by the reciprocal
x = 48/3
x = 16

So there are 16 people at the store (6 ordered banana splits; 10 did not). Note how 10/16 = 5/8 = 0.625, showing there are multiple ways to tie the answers together.
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In summary:

3/8 is the correct fraction for the first question
There are 16 people at the store
62.5% of the customers did not order banana splits

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