Respuesta :

Answer:

Step-by-step explanation:

[tex]\left \{ {{a+c=123} \atop {7a+5c=829}} \right.[/tex]

7a + 7c = 861 ...... (1)

7a + 5c = 829 ..... (2)

(1) - (2)

2c = 32

c = 16

a = 123 - 16 = 107

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Answer:

16 Children, 107 Adults

Step-by-step explanation:

a + c = 123

7a + 5c = 829

a + c = 123

a = 123 - c

7a + 5c = 829

7(123 - c) + 5c = 829

861 - 7c + 5c = 829

861 - 2c = 829

-2c = 829 - 861

-2c = -32

-2c/-2 = -32/-2

c = 16

a + c = 123

a + 16 = 123

a = 123 - 16

a = 107