A farmer can buy four types of plant food. Each barrel of mix A contains 30 pounds of phosphoric acid, 75 pounds of nitrogen, and 20 pounds of potash; each barrel of mix B contains 30 pounds of phosphoric acid, 100 pounds of nitrogen, and 30 pounds of potash; each barrel of mix C contains 30 pounds of phosphoric acid, 25 pounds of nitrogen, and 30 pounds of potash; and each barrel of mix D contains 60 pounds of phosphoric acid, 25 pounds of nitrogen, and 50 pounds of potash. Soil tests indicate that a particular field needs 1,050 pounds of phosphoric acid, 1,175 pounds of nitrogen, and 930 pounds of potash. How many barrels of each type of food should the farmer mix together to supply the necessary nutrients for the field? Let x, be the number of barrels of Mix A, xg be the number of barrels of Mix B, x, be the number of barrels of Mix C, and x, be the number of barrels of Mix D. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA The unique solution is x, " x2-. xg -. and x, (Simpity your answer.) O B. There are multiple combinations of how the barrels should be filled. The combinations are obtained from the equations x x Xg" and xt for sts (Simplify your answer. Type an expression using t as the variable.) Oc, There is no solution.
A farmer can buy four types of plant food. Each barrel of mix A contains 30 pounds of phosphoric acid, 75 pounds of nitrogen, and 20 pounds of potash; each barrel of mix B contains 30 pounds of phosphoric acid, 100 pounds of nitrogen, and 30 pounds of potash; each barrel of mix C contains 30 pounds of phosphoric acid, 25 pounds of nitrogen, and 30 pounds of potash; and each barrel of mix D contains 60 pounds of phosphoric acid, 25 pounds of nitrogen, and 50 pounds of potash. Soil tests indicate that a particular field needs 1,050 pounds of phosphoric acid, 1,175 pounds of nitrogen, and 930 pounds of potash. How many barrels of each type of food should the farmer mix together to supply the necessary nutrients for the field? Let x, be the number of barrels of Mix A, xg be the number of barrels of Mix B, x, be the number of barrels of Mix C, and x, be the number of barrels of Mix D. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA The unique solution is x, " x2-. xg -. and x, (Simpity your answer.) O B. There are multiple combinations of how the barrels should be filled. The combinations are obtained from the equations x x Xg" and xt for sts (Simplify your answer. Type an expression using t as the variable.) Oc, There is no solution.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 5PFA
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A farmer can buy four types of plant food. Each barrel of mix A contains 30 pounds of phosphoric acid, 75 pounds of nitrogen, and 20 pounds of potash; each barrel of
Sys
mix B contains 30 pounds of phosphoric acid, 100 pounds of nitrogen, and 30 pounds of potash; each barrel of mix C contains 30 pounds of phosphoric acid, 25
pounds of nitrogen, and 30 pounds of potash; and each barrel of mix D contains 60 pounds of phosphoric acid, 25 pounds of nitrogen, and 50 pounds of potash. Soil
tests indicate that a particular field needs 1,050 pounds of phosphoric acid, 1,175 pounds of nitrogen, and 930 pounds of potash. How many barrels of each type of
food should the farmer mix together to supply the necessary nutrients for the field?
Let x, be the number of barrels of Mix A, x, be the number of barrels of Mix B, xg be the number of barrels of Mix C, and x be the number of barrels of Mix D. Select
the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
OA The unique solution is x, =, x2-. xg =. and x = (Simpify your answer.)
Xg= and x =t
O B. There are multiple combinations of how the barrels should be filed. The combinations are obtained from the equations x, =
for
sts
(Simplify your answer. Type an expression using t as the variable.)
sas
OC, There is no solution.
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