To determine how many cupcakes Kristy still needs to decorate, we need to follow these steps:
1. Total Cupcakes: Kristy starts with a total of 144 cupcakes.
2. Fraction Decorated: Kristy has already decorated [tex]\(\frac{5}{6}\)[/tex] of the total cupcakes.
3. Calculate Decorated Cupcakes:
- First, we need to find out how many cupcakes Kristy has already decorated.
- This is done by multiplying the total number of cupcakes by the fraction she has decorated:
[tex]\[
\text{Decorated Cupcakes} = 144 \times \frac{5}{6}
\][/tex]
- Simplify the multiplication:
[tex]\[
144 \times \frac{5}{6} = 120
\][/tex]
- So, Kristy has decorated 120 cupcakes so far.
4. Calculate Cupcakes Left to Decorate:
- To find out how many cupcakes she still needs to decorate, we subtract the number of decorated cupcakes from the total number of cupcakes:
[tex]\[
\text{Undecorated Cupcakes} = 144 - 120
\][/tex]
- Simplify the subtraction:
[tex]\[
144 - 120 = 24
\][/tex]
So, Kristy still needs to decorate 24 cupcakes. Thus, the correct answer is 24.
