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It costs $3 for children and $7 for adults to attend a school basketball game. If 5000 people attended the game and the total takings at the door was $25000, determine the number of children and the number of adults that attended the game, using simultaneous elimination.

Sagot :

rebeccarayshma

Answer:

2500 children and 2500 adults

View image rebeccarayshma

The number of children is 2500 and the number of adults that attended the game is also 2500.

System of equations:

Let us consider that, number of children be x and number of adults be y that attend game.

Since, total 5000 people attend the game.

               [tex]x+y=5000\\\\x=5000-y..........(1)[/tex]

It costs $3 for children and $7 for adults and the total takings at the door was $25000

              [tex]3x+7y=25000 .............(2)[/tex]

Substitute value of x from equation 1 into equation 2.

           [tex]3(5000-y)+7y=25000\\\\15000-3y+7y=25000\\\\4y=10000\\\\y=10000/4=2500[/tex]

So that, [tex]x=5000-2500=2500[/tex]

Thus, the number of children is 2500 and the number of adults that attended the game is also 2500.

Learn more about the system of equation here:

https://brainly.com/question/13729904

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