Question

A coffee shop sells assorted types of coffees, and blends them into their "signature blends". Columbian sells for $4.40 per pound, and Kona sells
for $7.60 per pound. A customer pays $37 20 for 5 pounds of a blend. How much of each type of coffee goes into the blend?
pounds
Amount of Columbian coffee =
pounds
Amount of Kona coffee =

Answer 1

The amount of Columbian's coffee is 0.25 pounds and Kona's coffee 4.75 pounds.

Data;

• Columbian coffee = $4.40
• Kona coffee = $7.60

Let the value of Columbian coffee be represented by x

Let the value of Kona coffee be represented by y

System of Equation

To solve this problems, we need to write a system of equations of this problem.

$4.40x+7.60y = 37.20..equation(i)\\x+y = 5...equation(ii)$

From equation (ii), let's make x the subject of formula

$x+y =5\\x = 5 - y...equation(iii)$

Substitute equation(iii) into equation(i)

$4.40x+7.60y=37.20\\x =5 - y\\4.40(5-y) + 7.60y = 37.20\\22 - 4.40y + 7.60y = 37.20\\22 + 3.20y = 37.20\\3.20y = 37.20-22\\3.20y = 15.2\\\frac{3.20y}{3.20} =\frac{15.2}{3.20}\\ y = 4.75$

Let's substitute this value into equation(ii)

$x+y=5\\y = 4.75\\x+4.75=5\\x = 5 - 4.75\\x = 0.25$

From the calculations above, the amount of Columbian's coffee is 0.25 pounds and Kona's coffee 4.75 pounds.

Learn more on system of equations here;

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