At the city museum, child admission is $5.10 and adult admission is $9.70 . On Monday, twice as many adult tickets as child tickets were sold, for a total sales of $612.50. How many child tickets were sold that day?

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Answer:

25 child tickets were sold on Monday.

Step-by-step explanation:

Cost of ticket for a child = $5.10

Cost of ticket for an adult = $9.70

Let the number of child tickets sold be x.

Number of an adult tickets sold = 2x

Total sales on tickets = $612.50

[tex]2x\times \$9.70+x\times \$5.10 =\$612.50[/tex]

[tex]24.5x=612.5[/tex]

[tex]x=\frac{612.5}{24.5}=25[/tex]

25 child tickets were sold on Monday.