Q55. - Algebra 1

Question

One day, 28 small and 12 large merchant spaces were rented. Another day, 30 small and 15 large spaces were rented. Write and evaluate an expression to show the total rent collected.

Step-by-Step Solution

Answer

The total rent collected is $58x+27y$

Step 1. Defining the variable.

Let x be the rent of 1 small merchant space.

And y be the rent of 1 large merchant space.

Step 2. Example for finding total rent.

Let 10 small merchant spaces and 5 large merchant spaces be rented. Then the rent collected for 10 small merchant spaces will be and the rent collected for 5 large merchant spaces will be $5y$. Hence, the total rent collected will be $10x+5y$.

Step 3. Finding the total rent.

One day 28 small and 12 large merchant spaces were rented.

Then, rent collected on the first day $=28x+12y$

On another day 30 small and 15 large merchant spaces were rented.

Then, rent collected on another day $=30x+15y$

Therefore, total rent collected is given by,

$\begin{array}{l}=28x+12y+30x+15y\\ =28x+30x+12y+15y\\ =(28+30)x+(12+15)y\\ =58x+27y\end{array}$