SOLUTION: A grocery store sells Columbian coffee for $4 dollars per pound and Jamaican coffee for$12 dollars per pound. How much of each are needed to create a mixture weighing 10 pounds and

Algebra ->  Linear-equations -> SOLUTION: A grocery store sells Columbian coffee for $4 dollars per pound and Jamaican coffee for$12 dollars per pound. How much of each are needed to create a mixture weighing 10 pounds and      Log On


   

Question 198189: A grocery store sells Columbian coffee for $4 dollars per pound and Jamaican coffee for$12 dollars per pound. How much of each are needed to create a mixture weighing 10 pounds and costing $60?
a. Write two linear equations in standard form to model this problem
let x be pounds Columbian; y be pounds Jamaican
b. change your equation to slope intercept form. use your calculator to graph. Label the intersection of your graph and label each line with its equation in slope intercept form
c. How many pounds of each coffee is needed?
Answer by arallie(162) About Me  (Show Source):
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A grocery store sells Columbian coffee for $4 dollars per pound and Jamaican coffee for $12 dollars per pound. How much of each are needed to create a mixture weighing 10 pounds and costing $60?
a. Write two linear equations in standard form to model this problem
let x be pounds Columbian; y be pounds Jamaican
10=x%2By
60=4x%2B12y
b. change your equation to slope intercept form. use your calculator to graph. Label the intersection of your graph and label each line with its equation in slope intercept form
y=10-x
y=5-%28x%2F3%29
graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+10-x%2C+5-%28x%2F3%29%29
(7.5, 2.5)
c. How many pounds of each coffee is needed?
7.5lbs Columbian
2.5lbs Jamacian