Salma's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs salma $5.95 per pound, and type b coffee costs $4.45 per pound. this month's blend used twice as many pounds of type b coffee as type a, for a total cost of $490.05. how many pounds of type a coffee were used?

Question

Taniya Mitchell

Mathematics

20 March, 01:41

Salma's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs salma $5.95 per pound, and type b coffee costs $4.45 per pound. this month's blend used twice as many pounds of type b coffee as type a, for a total cost of $490.05. how many pounds of type a coffee were used?

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Answers (1)

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Nehemiah Saunders · Answer 1

For this case, the first thing we must do is define variables.

We have then:

x = pounds of type a coffee

y = pounds of type b coffee

We now write the system of equations:

5.95x + 4.45y = 490.05

y = 2x

Solving the system of equations we have:

x = 33

y = 66

Answer:

were used 33 pounds of type a coffee