SOLUTION: chang's coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Chang $4.10 per pound, and type B coffee cost $5.90 per pound. This month's blend us

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Question 801979: chang's coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Chang $4.10 per pound, and type B coffee cost $5.90 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $461.10. 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 type A coffee used
Let +b+ = pounds of type B coffee used
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(1) +b+=+2a+
(2) +4.1a+%2B+5.9b+=+461.1+
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Substitute (1) into (2)
(2) +4.1a+%2B+5.9%2A%282a%29+=+461.1+
(2) +4.1a+%2B+11.8+=+461.1+
(2) +15.9a+=+461.1+
(2) +a+=+29+
29 pounds of type A coffee were used
check:
(1) +b+=+2a+
(1) +b+=+2%2A29+
(1) +b+=+58+
(2) +4.1%2A29+%2B+5.9%2A58+=+461.1+
(2) +118.9+%2B+342.2+=+461.1+
(2) +461.1+=+461.1+
OK