Darcy and JoJo are decorating cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 1/3

Question

the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?(1 point)
Responses

18
18

2
2

30
30

3

Answer 1

Let \( x \) represent the number of cupcakes that JoJo decorates. According to the problem, Darcy decorates 8 cupcakes, which is 2 more than \( \frac{1}{3} \) of the cupcakes JoJo decorates.

We can set up the equation:

\[ 8 = \frac{1}{3}x + 2 \]

Now, let's solve for \( x \):

1. Subtract 2 from both sides:

\[ 8 - 2 = \frac{1}{3}x \]

\[ 6 = \frac{1}{3}x \]

2. Multiply both sides by 3 to isolate \( x \):

\[ 18 = x \]

Thus, JoJo decorates 18 cupcakes.