Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
Let x the number of pounds of the first kinf od coffe, and y the number of punds of the second kind of coffe. Due to teh grocer wants to mix a total of 16 pounds you can write the following equation:
x + y = 18 (1)
Now, consider that the grocer also wants to sell the mixture of the two kind of coffes for $2.10 per pound. It means that the total earning for the sale of the mixed coffe is:
$2.10*16 = $33.6
Then, based on the previous amount and based on the price per pound for each kind of coffe is $1.15 and $2.85 respectively, you can write:
1.15x + 2.85y = 33.6 (2)
Then, you have a system of two equations with two incognits. To solve it, proceed as follow:
Multiply equation (1) by -1.15 and sum the result to equation (2) to cancel out x and solve for y:
(x + y = 16)(-1.15)
-1.15x - 1.15y = -18.4
-1.15x - 1.15y = -18.4
1.15x + 2.85y = 33.6
1.7y = 15.2
y = 15.2/1.7
y = 8.94
Now, replace the previous value into the equation (1) and solve for x:
x + 8.94 = 16
x = 16 - 8.94
x = 7.06
Hence, the grocer should use 7.06 pounds of the first kind of coffe and 8.94 pounds of the second kind.s
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
