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Lashonda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lashonda $5.60per pound, and type B coffee costs $4.20per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $322.00. How many pounds of type A coffee were used?

Question

Lashonda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lashonda
$
5.60

per pound, and type B coffee costs
$
4.20

per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of
$
322.00

. How many pounds of type A coffee were used?

 

check_circleAnswer
Step 1

According to the given information, the cost information of the coffee bleands in given below:

Cost of type A coffee is given as 5.60 $ per pound. 

Cost of type B coffee is given as 4.20 $ per pound. 

 

Step 2

According to the question, amount of type B coffee is double of the amount of type A coffee. Therefore,

 

x Amount of type A coffee in pounds
2x Amount oftype B coffee in pounds
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Image Transcriptionclose

x Amount of type A coffee in pounds 2x Amount oftype B coffee in pounds

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Step 3

Total cost of coffee blend is 322.00 $. Therefor...

x.(5.60 S)+2x.(4.20 S) 322.00 S
help_outline

Image Transcriptionclose

x.(5.60 S)+2x.(4.20 S) 322.00 S

fullscreen

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