Answer:
•8.74 pounds of robust blend
• 1.25 pounds of mild blend
Explanation:
We are given:
•12 ounces, 6 ounces of mild blend Colombian beans
•4 ounces, 10 ounces of mild blend Brazilian beans.
From the question, we get the following equations:
1) Colombian: 12x + 6y = 1800
2) Brazilian: 4x + 10y = 760
Let's multiply the Brazilian equation by 3, we now have:
Colombian: 12x + 6y = 1800
Brazilian : 12x + 30y = 2280
Solving simultaneously, we have:
-24y = - 480
Therefore,
y = -480/-24
y= 20 oz
y = 20 oz ( divide by 16 to convert to pounds) = 1.25 pounds
Let's solve for x from Brazilian equation:
4x + 10y = 760
Therefore, since y = 20, we have:
4x + 10(20) = 760
= 4x + 200 = 760
= 4x = 760 - 200
= 4x = 560
Therefore
x = 560/4
x = 140
140 oz = 8.74 pounds
Therefore, they should make;
8.74 pounds of robust blend and 1.25 pounds of mild blend.
