Question

Sammy bought a movie ticket for 10.20 he also purchases candy the candy cost 3$ per bag. if Sammy spent a total of 20.40 at the movie theater ,how much did each candy cost?

Answer 1

Each candy costs $0.40

Step-by-step explanation:

Sammy spent a total of $20.40 at the movie theater, which includes the cost of a movie ticket and candy. Let's denote the cost of the movie ticket as T and the cost of each candy bag as C. The given information can be expressed in the equation:

`\[ T + 3C = 20.40 \]`

We know that Sammy bought a movie ticket for $10.20, so we substitute T with $10.20:

`\[ 10.20 + 3C = 20.40 \]`

Now, solve for C by isolating the term with C:

`\[ 3C = 10.20 \]`

`\[ C = (10.20)/(3) \]`

`\[ C = 3.40 \]`

Therefore, each candy bag costs $3.40. However, the question asks for the cost of each candy, and we already know Sammy bought one candy bag for $3.40. To find the cost of each candy, we subtract the cost of the candy bag from the total amount spent on candy:

`\[ \text{Cost of each candy} = 3.40 - 3 = 0.40 \]`

So, each candy costs $0.40. In conclusion, Sammy spent $10.20 on the movie ticket and $10.20 on candy, with each candy costing $0.40.