Question 914499: Here's my problem. Please help me. Thank youuu.
A machineis supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1. A can containing 500 of these mixed nuts was found to have 269 peanuts 74 cashews and 45 pecans. How many hazelnuts are there?
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! 269 peanuts, 74 cashews, and 45 pecans add up to  nuts.
Since there are 500 nuts in the can,
and each nut is expected to be
either a peanut, or a hazelnut, or a cashew, or a pecan
(no almonds, chestnuts, filberts or any other nuts),
then the remaining  nuts are hazelnuts.
If you want to write both calculations in one, use parentheses, like this:
 ,
or (showing your work)
 .
Obviously, that machine is not doing a good job, or else it is mixing the bulk product correctly, but the mix segregates (de-mixes a bit) as it is being packaged.
If the nuts were in the ratio 5:2:2:1,
we could split that can containing 500 nuts into 50 groups of 10 nuts,
with each group including
5 peanuts, 2 hazelnuts, 2 cashews, and 1 pecan.
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