Questions: Josh has to carry 172 apples from a farm to the market. How many baskets will he need, given that each basket can hold 45 apples?
baskets
Transcript text: Josh has to carry 172 apples from a farm to the market. How many baskets will he need, given that each basket can hold 45 apples?
$\square$ baskets
Solution
Solution Steps
To determine how many baskets Josh will need, we need to divide the total number of apples by the capacity of each basket. Since the number of baskets must be a whole number, we will use the ceiling function to round up to the nearest whole number if there is a remainder.
Step 1: Calculate the Number of Baskets
To find the number of baskets needed, we use the formula:
\[
\text{baskets\_needed} = \lceil \frac{\text{total\_apples}}{\text{basket\_capacity}} \rceil
\]
Substituting the values:
\[
\text{baskets\_needed} = \lceil \frac{172}{45} \rceil
\]
Step 2: Perform the Division
Calculating the division:
\[
\frac{172}{45} \approx 3.8222
\]
Step 3: Apply the Ceiling Function
Applying the ceiling function to round up:
\[
\lceil 3.8222 \rceil = 4
\]
Final Answer
Thus, the number of baskets Josh will need is \\(\boxed{4}\\).