Question

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?

Answer 1

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

$7x+12y=90$ ----> equation A              

$y=\frac{2}{3}x$ ----> equation B      

solve the system by substitution    

substitute equation B in equation A    

$7x+12(\frac{2}{3}x)=90$

solve for x    

$7x+8x=90$    

$15x=90$

$x=\ 6$

therefore

The price of an adult ticket was $6