Math Problem Statement

if $23=1hr and 1hr=35items how many $ does 24items cost

Solution

We can solve this problem step by step.

Step 1: Find the cost per item.

  • You know that $23 is the cost for 1 hour, and in 1 hour, 35 items are produced.
  • So, the cost per item is: Cost per item=2335 dollars\text{Cost per item} = \frac{23}{35} \text{ dollars}

Step 2: Find the cost for 24 items.

  • Now, you want to know how much 24 items cost. Multiply the cost per item by 24: Cost for 24 items=24×2335\text{Cost for 24 items} = 24 \times \frac{23}{35}

Let's calculate that:

Cost for 24 items=24×2335=5523515.77 dollars\text{Cost for 24 items} = \frac{24 \times 23}{35} = \frac{552}{35} \approx 15.77 \text{ dollars}

So, the cost for 24 items is approximately $15.77.

Would you like more details or have any questions?

Here are some related questions:

  1. How would the cost change if the number of items per hour increased?
  2. What would the cost be for 100 items?
  3. How much would it cost for 50 items at the same rate?
  4. What happens if the hourly rate ($23) changes?
  5. How do you calculate the cost for fractional items?

Tip: When dealing with unit rates, always break the problem into smaller parts to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Unit Rate
Proportions
Multiplication

Formulas

Cost per item = Total cost / Number of items
Cost for n items = n × Cost per item

Theorems

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Suitable Grade Level

Grades 6-8