Question

At Renaldi's Pizza, A soda and two slices of the pizza of the day cost $10.25. A soda and four slices of the pizza day cost $18.75. Find the cost of each item.

Answer 1

Given:

A soda and two slices of the pizza of the day cost $10.25.

A soda and four slices of the pizza day cost $18.75.

To find:

The cost of each item.

Solution:

Let x be the cost of a soda and y be the cost of each slice of the pizza.

A soda and two slices of the pizza of the day cost $10.25.

$x+2y=10.25$           ...(i)

A soda and four slices of the pizza day cost $18.75.

$x+4y=18.75$           ...(ii)

Subtracting (i) from (ii), we get

$x+4y-x-2y=18.75-10.25$

$2y=8.50$

$y=\dfrac{8.50}{2}$

$y=4.25$

Putting y=4.25 in (i), we get

$x+2(4.25)=10.25$

$x+8.50=10.25$

$x=10.25-8.50$

$x=1.75$

Therefore, the cost of each soda is $1.75 and the cost of each slice of pizza is $4.25.