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im on a bit of a time crunch so please hurry :)

Im On A Bit Of A Time Crunch So Please Hurry class=

Sagot :

Answer

39 child tickets were sold that day

Step-by-step explanation

Variables

• x: child tickets sold

,

• y: adult tickets sold

Given that four times as many adult tickets as child tickets were sold, then:

[tex]y=4x[/tex]

If 1 child ticket cost $5.70, then x child tickets will cost 5.7x dollars.

If 1 adult ticket cost $9.20, then y adult tickets will cost 9.2y dollars.

Given that the theater sold tickets for $1657.50, then:

[tex]5.7x+9.2y=1657.5[/tex]

Substituting the first equation into the second one and solving for x:

[tex]\begin{gathered} 5.7x+9.2(4x)=1,657.5 \\ 5.7x+36.8x=1,657.5 \\ 42.5x=1,657.5 \\ \frac{42.5x}{42.5}=\frac{1,657.5}{42.5} \\ x=39 \end{gathered}[/tex]

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