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.
$\$ 4.00$
$\$ 3.00$
$\$ 2.50$
$\$ 1.50$

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The cost of a soda is $\boxed{\$2.50}$.

Steps

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

Step 2 ：Based on the information given in the problem, we can form two equations: $3c + 2s = 14.00$ and $4c + 3s = 19.50$.

Step 3 ：Solving these equations, we find that 'c' equals \$3.00 and 's' equals \$2.50.

Step 4 ：Final Answer: The cost of a soda is $\boxed{\$2.50}$.