Question

If p represents the number of boys and q represents the number of girls the co – efficients of p and q represents the number of rows. Explain 2p + 4q = 44, 3p + 2q = 46 in sentence form.

Answer 1

Hint: Use the terms p, q as the words given in the question. Use the meaning of coefficients to form a meaningful sentence. Just apply this process to the both given equations.

Complete step-by-step solution -
First equation given in the question can be written as:
\[\Rightarrow \] 2p + 4q = 44 -----(1)
The p is said to be the number of boys.
The q is said to be the number of girls.
Coefficient of p, q are said to be the number of rows.
By using these lines, we can write equation (1) in words as:
The sum of the number of boys in \[{{2}^{nd}}\] row and number of girls in \[{{4}^{th}}\] row is equal to 44.
Second equation in the question can be written as:
\[\Rightarrow \] 3p + 2q = 46 ------ (2)
The p is said to be the number of boys.
The q is said to be the number of girls.
Coefficient of p, q are said to be the number of rows.
By using the above lines, we can write equation (3) as:
The sum of the number of boys in \[{{3}^{rd}}\] row and number of girls in the \[{{2}^{nd}}\] row is equal to 46.
Therefore we converted both equations to words.

Note: Generally students confuse between rows and number of students. So, apply the words carefully as given in the question. If we interchange the meaning of the whole sentence will change. It is important that the meaning must be matching to that of the equation. Take care of the constants as there are 2 equations do not mix them up.