A blending process is to combine three components in such a way as to create a final blend of 60,000 gallons. The three components cost $2, $1.5 and $1.25 per gallon respectively. The total cost of the components should equal $90,000. Another requirement in the blending is that the number of gallons used of component 1 should be twice the amount used of component 3. Determine whether there is a combination of the three components which will lead to the final blend of 60,000 gallons costing $90,000 and satisfying the blending restrictions.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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A blending process is to combine three components in such a way as to create a final blend of 60,000 gallons. The three components cost $2, $1.5 and $1.25 per gallon respectively. The total cost of the components should equal $90,000. Another requirement in the blending is that the number of gallons used of component 1 should be twice the amount used of component 3. Determine whether there is a combination of the three components which will lead to the final blend of 60,000 gallons costing $90,000 and satisfying the blending restrictions.

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