To determine the number of cartons of Juice Jonah will need for his 394 guests, we can follow these steps:
1. Understand the requirements:
- Jonah has 394 guests.
- Each guest requires one glass of juice.
- Each carton of juice contains enough to fill 9 glasses.
2. Calculate the total number of glasses needed:
- Since each guest needs one glass, Jonah needs 394 glasses of juice in total.
3. Determine how many cartons are needed:
- Each carton can fill 9 glasses.
- To find out how many cartons are needed, divide the total number of glasses by the number of glasses each carton can fill.
[tex]\[
\text{Cartons needed} = \frac{\text{Total glasses needed}}{\text{Glasses per carton}}
\][/tex]
Substituting the given values:
[tex]\[
\text{Cartons needed} = \frac{394}{9}
\][/tex]
4. Perform the division:
- When you divide 394 by 9, you get approximately 43.777...
5. Round up to the nearest whole number:
- Since you can't have a fraction of a carton (as it wouldn't be sufficient to fill all glasses), you need to round up to the nearest whole number.
- Rounding up 43.777... gives 44.
Therefore, Jonah will need 44 cartons of juice to ensure each of his 394 guests gets a glass.
