Macros Chemical Company is trying produce a test batch of a new organic fertilizer made from a proprietary type of green algae. The fertilizer is an experimental mixture of 4 ingedients: salt, water, soil, and algae (all measured in liters). In order to remain stable, the ratio of salt to water must be 5 to 8. In addition, the number of liters of salt and soil combined must always be the same as the number of liters of algae and water combined. How many liters of each compound should be included to create 110 liters of the fertilizer? Set up a system of equations, and then solve using your calculator. Use the variables in order in your equations as x, y, z, w as shown below in part a. MAKE SURE IT IS MATRIX FORM! a) Solve the system; write the solutions here, using tt as the parameter as needed. Solution: x= liters of salt ; y= liters of water ; z= liters of soil ; and w= liters of algae. b) If 14.9 liters of algae are to be used for a batch, how much of each compund will be included in the mixture? Answer: _______ liters of salt, ________ liters of water, ________ liters of soil, and __________ liters of algae should be used.
Macros Chemical Company is trying produce a test batch of a new organic fertilizer made from a proprietary type of green algae. The fertilizer is an experimental mixture of 4 ingedients: salt, water, soil, and algae (all measured in liters). In order to remain stable, the ratio of salt to water must be 5 to 8. In addition, the number of liters of salt and soil combined must always be the same as the number of liters of algae and water combined. How many liters of each compound should be included to create 110 liters of the fertilizer? Set up a system of equations, and then solve using your calculator. Use the variables in order in your equations as x, y, z, w as shown below in part a. MAKE SURE IT IS MATRIX FORM!
a) Solve the system; write the solutions here, using tt as the parameter as needed. Solution:
x= liters of salt ;
y= liters of water ;
z= liters of soil ; and
w= liters of algae.
b) If 14.9 liters of algae are to be used for a batch, how much of each compund will be included in the mixture?
Answer: _______ liters of salt, ________ liters of water, ________ liters of soil, and __________ liters of algae should be used.
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