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.

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rebeccarayshma rebeccarayshma · Answer 1 · 2021-01-02T10:14:17+01:00

Answer:

2500 children and 2500 adults

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ibiscollingwood ibiscollingwood · Answer 2 · 2022-03-03T12:31:51+01:00

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

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.

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