Henry and Holly catch crawfish which they sell to a local Cajun restaurant. The restaurant pays them $3.80 a pound for live crawfish that are large enough. 5% of the crawfish die before they can deliver them to the restaurant and 7% of the live crawfish are too small.

Identify an expression which represents how much money they make per pound of crawfish they catch.

Question

15-03-2020
Mathematics

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Henry and Holly catch crawfish which they sell to a local Cajun restaurant. The restaurant pays them $3.80 a pound for live crawfish that are large enough. 5% of the crawfish die before they can deliver them to the restaurant and 7% of the live crawfish are too small.

Identify an expression which represents how much money they make per pound of crawfish they catch.

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iwillanswer iwillanswer · Answer 1 · 2020-03-23T02:46:03+01:00

The eexpression which represents how much money they make per pound of crawfish they catch is: 3.3573x

Solution:

Let "x" be the number of craw fish they catch

Given that,

The restaurant pays them $3.80 a pound for live crawfish that are large enough

5% of the crawfish die before they can deliver them to the restaurant

7% of the live crawfish are too small.

Therefore, expression which represents how much money they make per pound of crawfish they catch is given as:

[tex]Money\ earned = 3.80 \times (1 - 5 \% ) \times (1 - 7 \% ) \times x\\\\Money\ earned = 3.80 \times ( 1 - 0.05) \times (1 - 0.07) \times x\\\\Money\ earned = 3.80 \times 0.95 \times 0.93 \times x\\\\Money\ earned = 3.3573x[/tex]

Thus the expression is found