The number of child tickets sold that day were 26.
Here, we are given that the fees for admission into the museum is as follows-
Child admission = $5.50
Adult admission = $9.60
Let the number of children admitted on Saturday be x
then the number of adults admitted that day = 4x
Now, the total money from sale of children tickets = $5.50x
the total money from sale of adult tickets = $9.6 × 4x = $38.4x
The total money from sale of tickets = $1141.40
⇒ 5.50x + 38.4x = 1141.40
43.9x = 1141.40
x = 1141.40/ 43.9
x = 26
Thus, the number of child tickets sold that day were 26.
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