Math Problem Statement

In a factory each machine produces 1234 glass frames every hour. if there are 48 machines working for 15 hours a day, about how many glass frames are produced in one day?

Solution

To calculate the total number of glass frames produced in one day, we can break it down step by step.

Step 1: Calculate the number of frames produced by one machine in one day.

  • Each machine produces 1234 glass frames every hour.
  • There are 15 hours of work in one day.

So, the number of frames produced by one machine in one day is:

1234frames/hour×15hours/day=18,510frames/day1234 \, \text{frames/hour} \times 15 \, \text{hours/day} = 18,510 \, \text{frames/day}

Step 2: Calculate the total number of frames produced by all 48 machines.

There are 48 machines working in the factory, so the total number of frames produced by all machines in one day is:

18,510frames/day×48machines=888,480frames/day18,510 \, \text{frames/day} \times 48 \, \text{machines} = 888,480 \, \text{frames/day}

Final Answer:

So, the factory produces 888,480 glass frames in one day.


Would you like a detailed breakdown or have any other questions on this? Here are some related questions you might find useful:

  1. How many glass frames would be produced in 10 days?
  2. How many glass frames would be produced if the machines worked 24 hours a day?
  3. What is the total production for one week (7 days)?
  4. How many glass frames would 100 machines produce in one day?
  5. If each frame sold for $5, what is the total revenue for the day?

Tip: To make similar calculations more efficient, use multiplication first to calculate for one unit (like one machine or one hour) and then scale up!

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Math Problem Analysis

Mathematical Concepts

Multiplication
Unit Conversion

Formulas

Frames produced per machine per day = frames/hour * hours/day
Total frames produced = frames/day * number of machines

Theorems

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Suitable Grade Level

Grades 4-6