SOLUTION: Michael's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Michael $4.60 per pound, and type B coffee costs $5.95 per pound. This month's ble

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Question 894030: Michael's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Michael $4.60 per pound, and type B coffee costs $5.95 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $830.65. How many pounds of type A coffee were used?
Sorry for re-posting this. Just needed to register with the site.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Very similar to problem request 893672 from here:
http://www.algebra.com/algebra/homework/word/coins/Word_Problems_With_Coins.faq.question.893672.html
Same problem but just different example.

Without using a general solution,
u = pounds of the cheap coffee, type A
v = pounds of the expensive coffee, type B

ACCOUNT FOR COST OF BLEND USING THE GIVEN PRICES: 4.60u%2Bv5.95=830.65
and
SHOW THE RATIO OF TYPE B TO TYPE A COFFEES ACCORDING TO THE DESCRIPTION: v%2Fu=3.

The question asks for the value for u.
Here is MOST of the way to solving for u.
v=3u;
substitute;
4.60u%2B5.95%283%2Au%29=830.85.
Just solve this for u.