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a company ordered $400 worth of muffins. bran muffins cost $2 each and blueberry muffins cost $4 each. if the company ordered twice as many blueberry muffins as bran muffins, how many muffins were ordered in total?
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we need a variable for the number of bran muffins what do you pick?
x & y
we only need one
x
so lets call the number of bran muffins x that makes the number of blueberry muffins twice that, or \(2x\)
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since the bran muffins are $2 each, \(x\) of them cost \(2x\) dollars
got it
and since the blueberry ones are $4 each, \(2x\) of them cost \(4\times 2x=8x\) dollars
the total amount of money is $400 so you know \[2x+8x=400\] and you can solve that for \(x\)
you good from there?
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