Question

Glass plates are packaged and shipped to a retail store, but 20% of all the shipped plates arrive broken. In the last shipment, 145 arrive broken. How many plates were shipped in total?(1 point) plates NOTE: Type your numerical answer into the box for the question to be scored correctly.NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.

Answer 1

Let \( x \) be the total number of plates shipped. According to the problem, 20% of the plates arrive broken. Therefore, the number of broken plates can be represented as:

\[ 0.2x \]

We know from the information given that 145 plates arrived broken. Thus, we have the equation:

\[ 0.2x = 145 \]

To find \( x \), divide both sides of the equation by 0.2:

\[ x = \frac{145}{0.2} \]

Calculating that:

\[ x = 145 \div 0.2 = 145 \times 5 = 725 \]

Thus, the total number of plates shipped is:

\[ \boxed{725} \]