Pregunta
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Mack’s Toy Shop made 600 trains yesterday and found that 30 were defective. They
plan to make 4,500 trains this week.
Using the information given, how many trains are expected to be defective?
225 trains
6,000 trains
15 trains
500 trains

Ask by Paul Weber. in the United States
Mar 26,2025

Solución de inteligencia artificial de Upstudy

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Expected defective trains this week are 225.

Solución

To find the number of trains expected to be defective this week, we can use the ratio of defective trains to total trains made yesterday.
Given:
  • Total trains made yesterday = 600
  • Defective trains yesterday = 30
We can calculate the ratio of defective trains to total trains made yesterday:
Now, we can use this ratio to find the number of defective trains expected this week:
Substitute the values:
Calculate the number of defective trains expected this week.
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Reduce the fraction:
  • step2: Reduce the numbers:
  • step3: Simplify:

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Bonus Knowledge

To find the expected number of defective trains, you first need to calculate the defect rate from yesterday’s production. In yesterday’s production, 30 out of 600 trains were defective, so the defect rate is 30/600, which simplifies to 1/20 or 5%. Now, applying this defect rate to the planned production of 4,500 trains: 5% of 4,500 is 0.05 × 4,500 = 225. Therefore, you can expect about 225 defective trains this week.
So the answer is 225 trains.

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