SOLUTION: Charmaine's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charmaine $5.75 per pound, and type B coffee costs $4.65 per pound. This month'

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Question 1007089: Charmaine's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charmaine $5.75 per pound, and type B coffee costs $4.65 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $451.50
. How many pounds of type A coffee were used?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Easiest using two variables.
a for type A
b for type B
Part of the description says symbolically b%2Fa=2.

Total blend quantity was a%2Bb but the value for this quantity of blend not given. Information is given to account for cost of the blend.

5.75a%2B4.65b=451.50

Question asks, find the value of a.
b=2a
-
substitute into cost equation.
5.75a%2B4.65%282a%29=451.5
You do the rest.



a=30