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 point) Responses 18 18 2 2 30 30 3 3
Let's represent the number of cupcakes that JoJo decorates as "x".
According to the information given, Darcy decorates 8 cupcakes, which is 2 more than 1/3 of the number of cupcakes that JoJo decorates.
This can be written as: 8 = (1/3)x + 2.
We can subtract 2 from both sides of the equation to isolate (1/3)x: 8 - 2 = (1/3)x.
Simplifying, we get: 6 = (1/3)x.
Multiplying both sides of the equation by 3, we get: 18 = x.
Therefore, JoJo decorates 18 cupcakes.
Let's solve this step-by-step.
Let's assume the number of cupcakes JoJo decorates is "x".
According to the given information, Darcy decorates 8 cupcakes, which is 2 more than 1/3 of the number of cupcakes that JoJo decorates.
So we can express this as an equation:
8 = (1/3)x + 2
Now, let's solve for x.
Subtracting 2 from both sides of the equation:
8 - 2 = (1/3)x
6 = (1/3)x
To isolate x, we need to multiply both sides of the equation by 3:
6 * 3 = (1/3)x * 3
18 = x
Therefore, JoJo decorates 18 cupcakes.
To find out how many cupcakes JoJo decorates, we need to solve the given equation: Darcy decorates 8 cupcakes, which is 2 more than 1/3 the number of cupcakes that JoJo decorates.
Let's denote the number of cupcakes that JoJo decorates as J.
According to the equation, Darcy decorates 8 cupcakes, which is 2 more than 1/3 * J.
So we can write the equation as: 8 = (1/3 * J) + 2.
To isolate J, we first subtract 2 from both sides of the equation: 8 - 2 = 1/3 * J.
Simplifying, we get: 6 = 1/3 * J.
To get J by itself, we multiply both sides of the equation by 3: 6 * 3 = J.
The final answer is J = 18.
Therefore, JoJo decorates 18 cupcakes.