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lys-0071 [83]
3 years ago
7

Josiah, the manager of a pet store, bought 72 oz of water conditioner to use in his fish tanks. His small tanks would require 2

oz of conditioner and his large tanks would require 6 oz of conditioner. He made a sketch to show the line representing the different combinations of tanks he could put the water conditioner into. The x-axis represented the number of small tanks and the y-axis represented the number of large tanks. The manager labeled only the intercepts.
Which points did the manager label?



a. (0, 6) and (2, 0)

b. (6, 0) and (0, 2)

c.(0, 12) and (36, 0)

d(0, 36) and (12, 0)
Mathematics
1 answer:
kodGreya [7K]3 years ago
6 0
If we are going to analyze the problem very well, the equation that we will be able to make would be: 2x + 6y = 72

72 is the oz of water conditioner to use in his fish tanks.

small tanks would require 2 oz of conditioner

 large tanks would require 6 oz of conditioner

There is only one point which satisfy's the above equation.That is the points of (0, 12) and (36, 0)
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352 children

Step-by-step explanation:

Solve algebraically using a system of equations

Assign variables

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let "c" be the number of children    <-- We want to find this

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<u>Rearrange the equation for people</u>. Isolate the variable you don't want to find.

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<u>Substitute</u> "541 - c", replacing "a", in the equation for money

2.25a + 1.75c = 1041.25              

2.25(541 - c) + 1.75c = 1041.25               Distribute over brackets

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1217.25 - 1217.25 - 0.5c = 1041.25 - 1217.25    Subtract 1217.25 on both sides  

-0.5c = -176               Do the reverse of multiplying by -0.5

-0.5c/-0.5 = -176/-0.5               Divide both sides by -0.5

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