John's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs john $4.70 per pound, and type b coffee costs $5.90 per pound. this month, john made 181 pounds of the blend, for a total cost of $967.10 . how many pounds of type a coffee did he use?

A +B = 181

A=181-B

4.70A+5.90B= 967.10

4.70(181-B) +5.90B =967.10

850.70-4.70B+5.90B=967.10

850.70+1.2B =967.10

1.2B=116.40

B =116.40/1.2 = 97

A=181-97 = 84 pounds of type A coffee

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the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: