Question
Deyonne made 25% more cookies than Cameron. They sold the cookies for $0.50 each. Let x represent the number of cookies Cameron made. Which of the following expressions represent possible revenue from the sales. solve step by step and Select all that apply.
0.50(x + (x + 0.25x)]
0.50(x + 0.25x)
0.50(x + 1.25x)
0.50(0.75x + x)
0.50(1.75x)
0.50(2.25x)
0.50(x + (x + 0.25x)]
0.50(x + 0.25x)
0.50(x + 1.25x)
0.50(0.75x + x)
0.50(1.75x)
0.50(2.25x)
Answers
GPT 3.5
Let's solve this step by step:
Deyonne made 25% more cookies than Cameron:
So, Deyonne made x + (0.25x) = 1.25x cookies.
Each cookie was sold for $0.50.
The revenue from the sales would be the number of cookies multiplied by the price per cookie.
To represent this mathematically, we can use the expression 0.50 * (number of cookies).
Now let's go through the given options:
Option 1: 0.50(x + (x + 0.25x))
Simplifying this expression gives us: 0.50(2x + 0.25x) = 0.50(2.25x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Option 2: 0.50(x + 0.25x)
Simplifying this expression gives us: 0.50(1.25x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Option 3: 0.50(x + 1.25x)
Simplifying this expression gives us: 0.50(2.25x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Option 4: 0.50(0.75x + x)
Simplifying this expression gives us: 0.50(1.75x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Option 5: 0.50(1.75x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Option 6: 0.50(2.25x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Therefore, all of the given options represent possible revenue from the sales.
Deyonne made 25% more cookies than Cameron:
So, Deyonne made x + (0.25x) = 1.25x cookies.
Each cookie was sold for $0.50.
The revenue from the sales would be the number of cookies multiplied by the price per cookie.
To represent this mathematically, we can use the expression 0.50 * (number of cookies).
Now let's go through the given options:
Option 1: 0.50(x + (x + 0.25x))
Simplifying this expression gives us: 0.50(2x + 0.25x) = 0.50(2.25x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Option 2: 0.50(x + 0.25x)
Simplifying this expression gives us: 0.50(1.25x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Option 3: 0.50(x + 1.25x)
Simplifying this expression gives us: 0.50(2.25x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Option 4: 0.50(0.75x + x)
Simplifying this expression gives us: 0.50(1.75x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Option 5: 0.50(1.75x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Option 6: 0.50(2.25x)
This expression represents the revenue from the sales and matches the given information. So, this option is correct.
Therefore, all of the given options represent possible revenue from the sales.