To find the total cost for 12 children and 4 adults using the expression \( 25c + 48a \), we can substitute \( c = 12 \) and \( a = 4 \) into the expression.
\[ \text{Total Cost} = 25(12) + 48(4) \]
Calculating each part:
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For the children: \[ 25(12) = 300 \]
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For the adults: \[ 48(4) = 192 \]
Now, add these two amounts together: \[ \text{Total Cost} = 300 + 192 = 492 \]
Thus, the total cost for 12 children and 4 adults is \($492\).