Chapter ISG, Problem 6.1.2.5P

To determine

To write system of equation and solve them.

Answer to Problem 6.1.2.5P

Number of round table, $x=8$

Number of square table, $y=6$

Explanation of Solution

Given information:

Capacity of round table=8

Capacity of square table=10

Calculation:

Let number of round table used be $x$ and number of square table used be $y$ .

According to question,

  $8x+10y=124$   -(1)

Also,2 round tables were used more than square

It means,

  $x-y=2$  -(2)

Solving the equations,

Taking (2),

  $x-y=2$

Rearranging,

  $x=2+y$  -(3)

Put in (1)

  $8(2+y)+10y=124$

Solving equation,

  $\begin{array}{l}16+8y+10y=124\\ 18y=124-16\end{array}$

So,

  $18y=108$

Dividing by 18,

  $y=6$  -(4)

Put value of y in (3)

  $x=2+6$

And,

  $x=8$

Hence, value of x and y is 6 and 8 respectively.

Graph:

Blue line represents: $8x+10y=124$

Black line represents: $x-y=2$