SOLUTION: A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100lb of mixture that will sell for $11.25 per pound. How

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Question 46582This question is from textbook
: A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100lb of mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?This question is from textbook

Answer by josmiceli(6784) (Show Source):
You can put this solution on YOUR website!
x = pounds of $9 beans
y = pounds of $12 beans
together they add up to 100 pounds
x + y = 100
(income from sales of $9 beans) + (income from sales of $12 beans) = total income
total income = (total pounds of mixture) x (price per pound of mixture)

multiply the 2nd equation by 9 and subtract from the 1st

pounds of $12 beans to be sold

pounds of $9 beans to be sold
check

OK

OK