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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
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