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

1.18
2. 2
3. 30
4. 3

1 answer

Let's say JoJo decorates x cupcakes.
We know that Darcy decorates 2 more cupcakes than 1/3 of the number of cupcakes JoJo decorates, so Darcy decorates (1/3 * x) + 2 cupcakes.
We're also told that Darcy decorates 8 cupcakes.
So (1/3 * x) + 2 = 8.
Subtracting 2 from both sides gives 1/3 * x = 6.
Multiplying both sides by 3 gives x = 18.
Therefore, JoJo decorates 18 cupcakes, which corresponds to answer choice 1: 18.