Question

A shipment of 200 games is \[20\% \] video games, \[50\% \] board games, and \[30\% \] puzzles. How many board games are chess if \[25\% \] of the board games are chess?

Answer 1

Hint: Here in this question, given the percentage of different categories of games like video, board and puzzle in the shipment of games. We gave to find how many chess games are there in the board games category. This can be solved by using the method of calculation of percentage problems to get the required solution.

Complete step by step solution:
Consider the given data in question
Total number of games in a shipment = 200
The percentage of video games in shipment = \[20\% \]
The percentage of board games in shipment = \[50\% \]
The percentage of Puzzles games in shipment = \[30\% \]
The number of board games in shipment is:
Remember that "per" means "divided by", and "cent" means 100, so "percent" means "divided by 100" or "out of 100".
When dealing with percent’s the word "of" means "times" or "to multiply". then
\[ \Rightarrow \,\dfrac{{50}}{{100}} \times 200\]
\[ \Rightarrow \,100\]
Therefore, the number of board games is 100.
Now, we can find the number of chess in board games is:
\[ \Rightarrow \,\dfrac{{25}}{{100}} \times 100\]
\[ \Rightarrow \,25\]
Hence, there are 25 chess games in board games in a shipment of games.

Note: The number can be simplified from one form to the other form. For the simplification of
number, we have some rule or method. By using the specific methods and rules we can convert the
number. The fraction number has a numerator and denominator. The percentage is represented by
the symbol %.