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2 years ago

How many gallons of a 12% salt solution should a biologist add to 5 gallons of a 15% salt solution to get a 14% solution?

Mathematics

1 answer:

Zarrin [17]2 years ago

4 0

The volume of the 12% salt solution to be added is; 2.5 gallons.

<h3>Ratio and Proportion of Volume</h3>

Let the volume of 12% required be x and the new volume of the mixture be (x+5).

On this note, it follows that;

12x + 15(5) = 14(5+x)

12x + 75 = 70 + 14x.

Hence, -2x = -5

Divide both side by -2;

x = -5/-2

x = 2.5 gallons.

Read more on ratios and Proportions;

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A population of rabbits is described by the function R(t) = 100(2t/5), where t is measured in months and R is measured in rabbit

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Answer and Step-by-step explanation: The graph is shown in the attachment.

a. ΔR on [1,2] is mathematically expressed as:

ΔR = R(2) - R(1)

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$\frac{500}{100}=\frac{2}{5}.t$

$t = \frac{500.5}{100.2}$

t = 12.5

In 12 and half months, population of rabbits will be 500.

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