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

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
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Solution

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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}\\).

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