jorgym08
Answered

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Please help explanation if possible

Please Help Explanation If Possible class=

Sagot :

emanshahzadi929

Answer:

612 adults

361 students

Step-by-step explanation:

To solve this question, set two equations:

Let x be number of adults and y be number of students.

As there are in total 937 people, the equation would be the sum of both adults and children:

[tex]x+y=937[/tex]

[tex]x=937-y[/tex]  ...... ( 1 )

As the total sale amount is $1109, the equation would be to add up the ticket fee:

[tex]2x+0.75y=1,109[/tex]  ...... ( 2 )

Put ( 1 ) into ( 2 ):

[tex]2(937-y)+0.75y=1,109[/tex]

[tex]1874-2y+0.75y=1,109[/tex]

[tex]-1.25y=-765[/tex]

[tex]y=763/1.25[/tex]

[tex]y=612[/tex]

Put y into ( 1 ):

[tex]x=973-612[/tex]

[tex]x=361[/tex]

Therefore there are 612 adults and 361 students.

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