Darcy and JoJo are decorating cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 1/31/3 the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?(1 point)

Question

Responses
18
18
2
2
30
30
3

Answer 1

Let's set up the equation based on the information given.

Let \( x \) be the number of cupcakes JoJo decorates. According to the problem, Darcy decorates 8 cupcakes, which is 2 more than \(\frac{1}{3}\) of the number of cupcakes JoJo decorates. This can be expressed as:

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

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 \( x \): \[ 6 \times 3 = x \] \[ x = 18 \]

Thus, JoJo decorates 18 cupcakes. The correct response is 18.