SOLUTION: Lamar's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lamar $4.10 per pound, and type B coffee costs $5.80 per pound. This month's

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Lamar's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lamar $4.10 per pound, and type B coffee costs $5.80 per pound. This month's      Log On

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Question 997352: Lamar's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lamar
$4.10
per pound, and type B coffee costs
$5.80
per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of
$709.80
. How many pounds of type A coffee were used?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of coffee A used
Let +b+ = pounds of coffee B used
-------------------------------
(1) +4.1a+%2B+5.8b+=+709.8+
(2) +b+=+4a+
----------------
(1) +41a+%2B+58b+=+7098+
Substitute (2) into (1)
(1) +41a+%2B+58%2A4a+=+7098+
(1) +41a+%2B+232a+=+7098+
(1) +273a+=+7098+
(1) +a+=+26+
26 pounds of coffee A were used
-------------
check:
(2) +b+=+4a+
(2) +b+=+4%2A26+
(2) +b+=+104+
-----------------
(1) +41a+%2B+58b+=+7098+
(1) +41%2A26+%2B+58%2A104+=+7098+
(1) +1066+%2B+6032+=+7098+
(1) +7098+=+7098+
OK