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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?

1 Answer

2 votes

Answer:

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

User Sarthak Bhagwat
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