Question

A coffee distributor needs to mix a(n) Terraza coffee blend that normally sells for $8.20 per pound with a Breakfast coffee blend that normally sells for $11.70 per pound to create 60 pounds of a coffee that can sell for $9.37 per pound. How many pounds of each kind of coffee should they mix? A) Write an equation using the information as it is given above that can be solved to answer the question. Use as your variable to represent the quantity of Terraza coffee blend. Equation: B) Answer: They must mix pounds of the Terraza Blend pounds of the Breakfast Blend Round your answers to the nearest whole number of pounds.

Answer 1

They must mix 40 pounds of the Terraza Blend 20 pounds of the Breakfast Blend

The equation for the mix

x is the blend of Tereza

y is the blend of breakfast coffee

We have to form the following equations

x + y = 60 ---- 1

8.2x + 11.7y = 60 x 9.37 -----2

From equation 1

y = 60 - x

we have to put the above into equation 2

such that we would have

8.2x + 11.7( 60 - x) = 562.6

8.2x + 702 - 11.7x = 562.6

we have to take the like terms

8.2x  - 11.7x = 562.6 - 702

3.5x = 139.4

divide through by 3.5x

x = 139.4/3.5

= 39.8 this is approximately 40

Remember that y = 60 - x

y = 60 - 40

y = 20

Hence we would have the statement as

They must mix 40 pounds of the Terraza Blend 20 pounds of the Breakfast Blend

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