We appreciate your visit to Kabir paid an entrance fee of tex 5 tex plus an additional tex 0 75 tex per game at a local arcade The next week. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve the problem of determining how many games Kabir will need to play at each arcade to spend the same amount of money, we need to set up equations for each arcade and find the point where the costs are equal. Let's go through the steps:
1. Understand the costs:
- For the first arcade, Kabir pays an entrance fee and a cost per game. This can be written as:
[tex]\[
\text{Total cost at the first arcade} = 5 + 0.75x
\][/tex]
where [tex]\( x \)[/tex] is the number of games played.
- For the second arcade, Kabir only pays for each game without any entrance fee:
[tex]\[
\text{Total cost at the second arcade} = 1.25x
\][/tex]
2. Set the equations equal:
- To find the number of games where both total costs are equal:
[tex]\[
5 + 0.75x = 1.25x
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
- First, we'll simplify and solve the equation:
[tex]\[
5 + 0.75x = 1.25x
\][/tex]
- Move [tex]\( 0.75x \)[/tex] to the right side:
[tex]\[
5 = 1.25x - 0.75x
\][/tex]
- Simplify the right side:
[tex]\[
5 = 0.5x
\][/tex]
- Divide both sides by 0.5 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{5}{0.5}
\][/tex]
[tex]\[
x = 10
\][/tex]
Therefore, Kabir will have to play 10 games at each arcade to spend the same amount of money. The correct equation representing this scenario is:
[tex]\[
5 + 0.75x = 1.25x
\][/tex]
1. Understand the costs:
- For the first arcade, Kabir pays an entrance fee and a cost per game. This can be written as:
[tex]\[
\text{Total cost at the first arcade} = 5 + 0.75x
\][/tex]
where [tex]\( x \)[/tex] is the number of games played.
- For the second arcade, Kabir only pays for each game without any entrance fee:
[tex]\[
\text{Total cost at the second arcade} = 1.25x
\][/tex]
2. Set the equations equal:
- To find the number of games where both total costs are equal:
[tex]\[
5 + 0.75x = 1.25x
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
- First, we'll simplify and solve the equation:
[tex]\[
5 + 0.75x = 1.25x
\][/tex]
- Move [tex]\( 0.75x \)[/tex] to the right side:
[tex]\[
5 = 1.25x - 0.75x
\][/tex]
- Simplify the right side:
[tex]\[
5 = 0.5x
\][/tex]
- Divide both sides by 0.5 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{5}{0.5}
\][/tex]
[tex]\[
x = 10
\][/tex]
Therefore, Kabir will have to play 10 games at each arcade to spend the same amount of money. The correct equation representing this scenario is:
[tex]\[
5 + 0.75x = 1.25x
\][/tex]
Thanks for taking the time to read Kabir paid an entrance fee of tex 5 tex plus an additional tex 0 75 tex per game at a local arcade The next week. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
