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a family purchased tickets for a concert. they paid a total of $90 for 7 adults and 12 child tickets. the price of a child ticket was 2/3 the price of an adult ticket. how much was the price of an adult ticket?

Respuesta :

calculista

Answer:

The price of an adult ticket was $6

Step-by-step explanation:

Let

x ----> the price of an adult ticket

y ---->  the price of a child ticket

we know that

[tex]7x+12y=90[/tex] ----> equation A              

[tex]y=\frac{2}{3}x[/tex] ----> equation B      

solve the system by substitution    

substitute equation B in equation A    

[tex]7x+12(\frac{2}{3}x)=90[/tex]

solve for x    

[tex]7x+8x=90[/tex]    

[tex]15x=90[/tex]

[tex]x=\$6[/tex]

therefore

The price of an adult ticket was $6

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