Question

The coffee counter charges $11 per pound for Kenyan French Roast coffee and $10 per pound for Sumatran coffee.


How much of each type chills be used to make 20 pound blend that sells for $10.35 per pound?

Answer 1

Answer:

x=7

y=13

Step-by-step explanation:

Let kenyan fresh roast=x

And Sumatran coffee=y

x pound +y pound=20 pounds

x=20-y

Cost

x cost $11

y cost $10

11x+10y=10.35*20

Substitute x=20-y into the equation

We have,

11(20-y)+10y=207

220-11y+10y=207

-y=207-220

-y=-13

y=13

Recall

x=20-y

Substitute y=13 into it

x=20-13

x=7

Answer 2

Kenyan French Roast coffee is 7 pounds and Sumatran coffee is 13 pounds.

Given that,

• Kenyan French Roast coffee charges $11 per pound
• Sumatran coffee charges $10 per pound.
• We need to find type of coffee for 20 pound at $10.35 per pound.

According to the scenario, computation of given data are as follows,

Let Kenyan Coffee = X

Sumatran Coffee = Y

So,

X + Y = 20 pounds

or X = 20 - Y

Now,

11X + 10 Y = 10.35 $\times$ 20

11 (20  -Y) + 10 Y = 207

220 - 11Y +10Y = 207

-Y = -13

Y= 13

So, X = 20 - 13 = 7

This shows that,

Kenyan Coffee = X = 7 pounds

and Sumatran Coffee = Y = 13 pounds

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