Question

question 1 of 5

drag each number to the correct location on the equations. each number can be used more than once, but not all numbers will be used.

hillary plans to go on 3 rides and play 6 games at the state fair, which will require a total of 42 tickets. james will play 5 games and go on 4 rides. he needs 44 tickets.

determine the system of equations that can be used to find the number of tickets it takes to go on one ride, (r), and the number of tickets it takes to play one game, (g). assume all rides require the same number of tickets, and all games require the same number of tickets.

hillary: (r) + (g) =
james: (r) + (g) =

44 6 4 5 3 42 9

Explanation:

⚡ Using what you learned: introduction to systems of equations

Step 1: Set up Hillary's equation

Hillary plans to go on \(3\) rides (\(r\)) and play \(6\) games (\(g\)) for a total of \(42\) tickets.

$$ 3r + 6g = 42 $$

Step 2: Set up James's equation

James plans to go on \(4\) rides (\(r\)) and play \(5\) games (\(g\)) for a total of \(44\) tickets.

$$ 4r + 5g = 44 $$

Answer:

Hillary: \(3r + 6g = 42\)
James: \(4r + 5g = 44\)