Question

A dealer wanted to buy 30 tables and 50 chairs by spending $\$1,500.$ If cost of each chair is equal to cost of each table, find the cost of each chair. Evaluate using the graphical method.

• A. $\$18.75$
• B. $18$
• C. $19.75$

Answer 1

The correct option is A $\$18.75$

Let he cost price of each table is $\$x$ and cost price of each chair is $\$y$.

A dealer wanted to buy 30 tables and 50 chairs by spending $\$1,500.$

$\therefore$ Total cost $=\$30x+\$50y$
$\Rightarrow \$1500=\$30x+\$50y$
The intercept form equation is
$\frac{x}{50}+\frac{y}{30}=1500$

Also, it is given that, cost of each chair is equal to cost of each table.
$\Rightarrow y=x$
These are two simultaneous linear equations.
Let's plot it and find the solution.


$\Rightarrow x=18.75$
$\therefore$ Cost of each chair is $\$18.75$