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Stels [109]
3 years ago
5

The aquarium has 3 more yellow fish than green fish. 60 percent of the fish are yellow. How many green fish are in the aquarium?

Show your work.
Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

The aquarium has 3 more yellow fish than green fish.

60% of the fish are yellow.

To find:

How many green fish are in the aquarium?

Step-by-step explanation:

Let there be x number of fish in the aquarium.

60% of the fish are yellow.

So there are 60x/100 = 3x/5 yellow fish.

Then (100 - 60)% = 40% fish are green.

So there are 40x/100 = 2x/5 green fish.

Given that, there are 3 more yellow fish than green fish

⇒ 3x/5 = 2x/5 + 3

⇒ 3x/5 = (2x + 15)/5

⇒ 3x = 2x + 15

⇒ 3x - 2x = 15

⇒ x = 15

Now, 2x/5 = 2/5 × 15 = 2 × 4 = 6

Answer:

There are 6 green fish in the aquarium.

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To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.

It should look like this: 8/100 (hint: per-cent means per-hundred).

Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.

Our proportional fractions are:
20/x = 8/100.

To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
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Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
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Now that we've cross-multiplied, set our two products as an equation.

8x = 2000.

To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).

8x / 8 = x
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x = 250

Your final answer is:

8% of 250 is 20.

I hope this helps!
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