Question

Help please. Trying to catch up work behind from medical issues thank you!!!!

Answer 1

Given:

The cost of one pound from Costa Rican = $9.30

The cost of one pound from Organic free trade = $12.80

It is required to make 50 pounds by mixing the two types to make a new coffee

which the cost of the pound will be = $12.45

so, let the number of pounds from Costa Rican = x

And the number of pounds from Organic Free Trade = y

So, we can write the following system of equations:

`\begin{gathered} x+y=50\rightarrow(1) \\ 9.30x+12.80y=12.45\cdot50\rightarrow(2) \end{gathered}`

Form equation (1)

`x=50-y\rightarrow(3)`

substitute with (x) from equation (3) into equation (2)

`9.30\cdot(50-y)+12.80y=12.45\cdot50`

solve the equation to find (y):

`\begin{gathered} 9.30\cdot50-9.30y+12.80y=12.45\cdot50 \\ 465+3.5y=622.5 \\ 3.5y=622.5-465 \\ 3.5y=157.5 \\ y=(157.5)/(3.5)=45 \end{gathered}`

substitute with (y) into equation (3) to find (x):

`x=50-45=5`

So, the answer will be:

5 pounds of Costa Rican coffee

45 pounds of Organic Free trade coffee