Question

Sarah Meeham blends coffee for​ Tasti-Delight. She needs to prepare 170 pounds of blended coffee beans selling for ​$3.76 per pound. She plans to do this by blending together a​ high-quality bean costing ​$5.00 per pound and a cheaper bean at ​$2.00 per pound. To the nearest​ pound, find how much​ high-quality coffee bean and how much cheaper coffee bean she should blend

Answer 1

The quantity of high-quality coffee been is 100 and cheaper coffee bean is 70.

Step-by-step explanation:

Let the quantity of high-quality coffee bean = x

The price of high-quality bean = $5 per pound.

Let the cheaper coffee bean = y

The price of cheaper coffee bean = $2 per pound.

So, from the equation there are two equation can be formed.

x + y = 170

5x + 2y = 170×3.76

Now, solve both the equation for the value of x and y.

x + y = 170

x = 170-y

now insert, x = 170 – y in the below equation.

5x + 2y = 170×3.76

5 (170 – y) + 2y = 639.2

850 – 5y + 2y = 639.2

-3y = 639.2 – 850

- 3y = -210.8

y = 70.26 or the 70

now insert 70 in x = 170-y.

x = 170 – 70

x = 100

Thus, the quantity of high-quality coffee been is 100 and cheaper coffee bean is 70.