Darcy and JoJo are decorating cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 13 the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?(1 point)
18
18
2
2
30
30
3
3
To find out how many cupcakes JoJo decorates, we can use algebra. Let's let "x" represent the number of cupcakes that JoJo decorates.
We know that Darcy decorates 8 cupcakes, which is 2 more than 13 cupcakes that JoJo decorates. This can be written as:
8 = 13 + 2x
To solve for x, we need to isolate it on one side of the equation. We can start by subtracting 13 from both sides:
8 - 13 = 13 + 2x - 13
-5 = 2x
Next, we need to isolate x by dividing both sides of the equation by 2:
-5/2 = 2x/2
-5/2 = x
Therefore, JoJo decorates -5/2 cupcakes.
However, we can see that this answer doesn't make sense in the context of the problem. We cannot have a negative or fractional number of cupcakes. Therefore, there seems to be an error in the problem or the options provided.
Let's represent the number of cupcakes that JoJo decorates as J.
According to the information given, Darcy decorates 2 more cupcakes than JoJo, which can be expressed as D = J + 2.
It is also mentioned that Darcy decorates a total of 8 cupcakes, which can be expressed as D = 8.
Combining both equations, we have:
J + 2 = 8
Subtracting 2 from both sides:
J = 8 - 2
J = 6
Therefore, JoJo decorates 6 cupcakes.
So the answer is 6 cupcakes.