At the city museumy child admission is and admission is $9.30. On Monday four times as many adult tickets as child tickets were sold for a total of sales of $1548.00 . How many child tickets were sold that day.

Respuesta :

Answer:

The number of child tickets sold was 36

Step-by-step explanation:

The complete question is

At the city museum, child admission is $5.80 and adult admission is $9.30. On Monday, four times as many adult tickets as child tickets were sold, for a total sales of $1548.00. How many child tickets were sold that day?

Let

x ----> the number of child tickets sold

y ----> the number of adult tickets sold

we know that

[tex]5.80x+9.30y=1,548.00[/tex] ---> equation A

[tex]y=4x[/tex] ----> equation B

Solve by substitution

Substitute equation B in equation A    

[tex]5.80x+9.30(4x)=1,548.00[/tex]

solve for x

[tex]5.80x+37.2x=1,548.00[/tex]

[tex]43x=1,548.00[/tex]

[tex]x=36[/tex]

therefore

The number of child tickets sold was 36