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

The price of an adult ticket was $6

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=(2)/(3)x` ----> equation B

solve the system by substitution

substitute equation B in equation A

`7x+12((2)/(3)x)=90`

solve for x

`7x+8x=90`

`15x=90`

`x=\$6`

therefore

The price of an adult ticket was $6