Question

Translate the given statement into an algebraic expression , the given statement is “product of “3” and “x” divided by the sum of “x” and “y”?

Answer 1

Hint:For converting a statement into an algebraic equation you have to assume variables according to the statement given, the variable assumed is purely dependent on the quantities asked for, and after that just make the mathematical expression according to the statement and after solving the algebraic equation you can find the value of variable you assumed.

Complete step by step solution:
For the given statement we have to obtain the ration of numerator and
denominator of the expression by understanding the statement, that is what it wants to say and accordingly we have to frame the mathematical expression.
Analyzing the numerator pat of the statement, we get that the statement needs the product of a number and a variable as given in question, on framing we get:
\[ \Rightarrow 3 \times x\]
Analyzing the denominator pat of the statement, we get that the statement needs the sum of two variable as given in question, on framing we get:
\[ \Rightarrow x + y\]
The final ratio as per required from question is:
\[ \Rightarrow \dfrac{{3 \times x}}{{x + y}}\]

Note: The conversion of statement to the algebraic equation needs only the understanding of the statement, you should be careful about the words written over there and accordingly you can re-write it in the terms of math’s. For example “of” is used for product, “ratio” is used for division, “sum” is used for addition and “difference” is used for subtraction.