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 2 to 5. 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
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 2 to 5. 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 125 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.
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 50.3 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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