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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