High School

We appreciate your visit to A group of friends went to an amusement park and played 3 games of mini golf and 7 arcade games for 45 50 Another group. 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!

A group of friends went to an amusement park and played 3 games of mini-golf and 7 arcade games for $45.50. Another group of friends played 4 games of mini-golf and 11 arcade games for $63.80.

Solve the system of equations to find the cost of a game of mini-golf and the cost of an arcade game.

Let \( x \) be the cost of a mini-golf game and \( y \) be the cost of an arcade game.

Equation 1: \( 3x + 7y = 45.50 \)
Equation 2: \( 4x + 11y = 63.80 \)

Answer :

Final answer:

To solve the given system of equations, use the method of elimination to find the cost of a game of mini-golf.

Explanation:

To solve this system of equations, let's represent the cost of a game of mini-golf as x and the cost of an arcade game as y. The first equation is 3x + 7y = 45.50, and the second equation is 4x + 11y = 63.80. We can solve this system using the method of substitution or elimination. Let's use the method of elimination. Multiplying the first equation by 11 and the second equation by 7, we get 33x + 77y = 500.50 and 28x + 77y = 446.60. Subtracting the second equation from the first equation, we eliminate y and obtain 5x = 53.90. Dividing both sides by 5, we find that x = 10.78. Therefore, the cost of a game of mini-golf is $10.78.

Learn more about Systems of Equations here:

https://brainly.com/question/21620502

#SPJ11

Thanks for taking the time to read A group of friends went to an amusement park and played 3 games of mini golf and 7 arcade games for 45 50 Another group. 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!

Rewritten by : Barada