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3 years ago

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Nicholas has a larger tropical fish collection. He gives 2/3 of his fish to a high school. Then he gives 2/5 of the remaining fi

sh to another school. In the end he has 30 fish left. How many fish Nicolas have at first?

1 answer:

Kitty [74]3 years ago

3 0

Let the initial count of his fish be n.

He gives away 2/3 of these fish: 2n/3, leaving n/3 fish.

He gives away 2/5 of these remaining n/3 fish: (2/5) times (n/3), or

2n
--- , meaning that (3/5) times (n/3) fish are left.
15

(3/5)(n/3) = n/5 fish left = 30 fish. Thus, n = 150 fish.

Be certain to check this answer!

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In the question it is given that the inequality is $6y-3x>9$ .

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Figure $1$ shows the graph of the equation $6y-3x=9$ .

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Figure $2$ shows the region for the inequality $\fbox{\begin\\\math{6y-3x>9}\\\end{minispace}}$ .

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Linear inequality

Keywords: Linear, equality, inequality, linear inequality, region, shaded region, common region, above the dashed line, graph, graph of inequality, slope, intercepts, y-intercept, 6y-3x=9, 6y-3x>9, slope intercept form.

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