Answer :
Final answer:
This problem involves creating and solving an algebraic equation. The solution is x = 75, where x is the quotient of the number and 5, minus 11, that equals 4.
Explanation:
To solve for the unknown number in the statement 'Eleven less than the quotient of a number and five is four,' we can create a mathematical equation. Let's assign the unknown number as 'x'.
So, the phrase 'quotient of a number and five' can be represented as 'x/5'. Eleven less than this quotient can be expressed as 'x/5 - 11'. We know that this is equal to '4', hence the equation is 'x/5 - 11 = 4'.
To isolate x, first, we can add 11 to each side of the equation which gives us 'x/5 = 15'.
Multiplying both sides of the equation by 5, then gives us 'x = 75'.
Therefore, the unknown number is 75.
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