Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50.
How much of each type of bean did she buy?
Select one:
a. 2.5 lbs Kenya and 7.5 lbs French Roast
b. 3 lbs Kenya and 7 lbs French Roast
c. 1.5 lbs Kenya and 8.5 lbs French Roast
d. 4 lbs Kenya and 6 lbs French Roast

Question

Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50.
How much of each type of bean did she buy?
Select one:
a. 2.5 lbs Kenya and 7.5 lbs French Roast
b. 3 lbs Kenya and 7 lbs French Roast
c. 1.5 lbs Kenya and 8.5 lbs French Roast
d. 4 lbs Kenya and 6 lbs French Roast

anonymous · Answer

x=kenya beans pounds 
y=french roasts pounds 

x+y=10 
15x+8y=97.50 

solve system of equations. 
y=10-x 
15x+8(10-x)=97.50 
7x+80=97.50 
7x=17.5 
x=2.5. 
plug into y=10-x. 
y=7.5. 
Answer is A 
2.5 lbs Kenya and 7.5 lbs French roast.

anonymous · Answer

how did you get 7x ???