Respuesta :
Let x be the number of tickets required to go on a ride and y be the number of tickets required to play a game. Our system of equations will therefore be:
3x + 6y = 42
4x + 5y = 44
Lets use elmination to solve the system. First lets multiply the first equation by 4 and the second equation by 3.
12x + 24y = 168
12x + 15y = 132
Now we can subtract one equation from the other to eliminate the x terms.
12x + 24y = 168
-(12x + 15y = 132)
0 + 9y = 36
9y = 36
y = 4
Now that we've solved for y, we can plug this value into one of the equations and solve for the unknown x.
4x + 5(4) = 44
4x + 20 = 44
4x = 24
x = 6
Thus, it takes 6 tickets to get on a ride and 4 tickets to play a game.
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 is 3r + 6g = 42 and 4r + 5g = 44.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the Number of tickets for a rides be represented by r, while the number of tickets for a game be represented by g.
Given that Hillary plans to go on 3 rides and play 6 games at the state fair, which will require a total of 42 tickets. Therefore, the equation can be written as,
Number of tickets for 3 rides + Number of tickets for 6 games = Total number of ticket
3r + 6g = 42
Also, James will play 5 games and go on 4 rides. He needs 44 tickets. Therefore, the equation can be written as,
Number of tickets for 4 rides + Number of tickets for 5 games = Total number of ticket
4r + 5g = 44
Hence, 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 is 3r + 6g = 42 and 4r + 5g = 44.
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