At the movie theater, three candy bars and two sodas costs $$ 14.00$ . Four candy bars and three sodas costs $$ 19.50$ . Find the cost of a soda.

Answer

Expert–verified

Hide Steps

Answer

So, the cost of a soda is $2.50$ .

Steps

Step 1 ：Let's represent the cost of a candy bar as 'c' and the cost of a soda as 's'.

Step 2 ：From the problem, we can form two equations: $3 c + 2 s = 14.00$ and $4 c + 3 s = 19.50$ .

Step 3 ：We can solve this system of equations to find the cost of a soda.

Step 4 ：The solution to the system of equations is $c = 3.00$ and $s = 2.50$ .

Step 5 ：So, the cost of a soda is $2.50$ .