Question

A chocolate factory created 250 bars in one hour. 30 of the chocolate bars were broken and thrown away. If 1,500 chocolate bars are created in a day, how many chocolate bars can the factory approximately expect to be broken? Create a proportion to solve.

Question 3 options:

The company can expect approximately 45,000 bars to be broken by the end of the day.


The company can expect approximately 7,500 bars to be broken by the end of the day.


The company can expect approximately 25 bars to be broken by the end of the day.


The company can expect approximately 180 bars to be broken by the end of the day.

Answer 1

D

Explanation:

To solve the problem, we can create a proportion based on the information given:

30 broken bars = 250 bars produced

x broken bars = 1500 bars produced

Cross-multiplying, we get:

30 * 1500 = 250 * x

Simplifying, we get:

x = (30 * 1500) / 250 = 180

Therefore, the factory can expect approximately 180 chocolate bars to be broken by the end of the day. The answer is D.

Another way to solve this problem is to use the ratio of broken bars to total bars produced.

In one hour, the factory produced 250 chocolate bars, and 30 of them were broken. So the ratio of broken bars to total bars produced in one hour is:

30/250 = 0.12

This means that 12% of the chocolate bars produced in one hour were broken.

To find out how many bars the factory can expect to be broken in a day when 1500 bars are produced, we can multiply the ratio of broken bars by the total number of bars produced in a day:

0.12 * 1500 = 180

So the factory can expect approximately 180 chocolate bars to be broken by the end of the day. This method uses the same approach as the proportion method, but it expresses the ratio of broken bars as a percentage.