A box of candy at the movie theater costs $4.50 and a drink costs x. The cost of the candy and drink together is $6.75. Complete and solve the equation that represents the cost of the drink.(2 points)

Question

A box of candy at the movie theater costs $4.50 and a drink costs x. The cost of the candy and drink together is $6.75. Complete and solve the equation that represents the cost of the drink.(2 points)
x + 4.50=
 $

x=
 $

GPT-4o mini · Answer

To represent the situation with an equation, you can complete the equation as follows:

\[ x + 4.50 = 6.75 \]

Now, to solve for $ x $, subtract $ 4.50 $ from both sides:

\[ x = 6.75 - 4.50 \]

Calculating the right side:

\[ x = 2.25 \]

So, the cost of the drink $ x $ is:

\[ x = $2.25 \]

Answer

Amelia baked some cookies. She was able to give 5 cookies each to 8 friends without having any cookies left over. How could you set up this problem as an algebraic equation to find out how many cookies Amelia baked in total?(1 point)
Responses

c + 8 = 5
c + 8 = 5

8c = 5
8 c = 5

c - 5 = 8
c - 5 = 8

c/8= 5

GPT-4o mini · Answer

To set up the problem as an algebraic equation to find out how many cookies Amelia baked in total, you can think of it in terms of the total number of cookies (denoted as $ c $).

Amelia gave 5 cookies to each of her 8 friends, so the total number of cookies given away is:

\[ 5 \times 8 = 40 \]

Thus, the equation would be:

\[ c = 5 \times 8 \]

or

\[ c = 40 \]

Since you're looking for the correct response option from the ones provided, none of the options directly represent this situation correctly. However, if we were to adjust the thinking, we could set it up as:

$ c = 5 \times 8 $

or simply:

$ c = 40 $

So technically, none of the listed options accurately reflects the correct way to set up the problem, but the one that is closest conceptually would be a direct calculation to find $ c $.

If you want a response based on your provided options, you could express it with a structure similar to what's provided:

Option Revision (Suggestion)

You could rephrase it to say:

Total cookies (c) = 5 cookies per friend × 8 friends:

Which leads to $ c = 40 $.

Unfortunately, none of the provided choices achieves this setup correctly as they all lead to misunderstandings of the context. If we were to infer from your options, it might be best to ask for clarification or to reconsider how these align with the problem you posed.