Question

The Cooper Family pays $184 for 4 adults and 2 children to attend the circus. The Penny Family pays $200 for 4 adults and 3 children to attend the circus. Write and solve a system of equations to find the cost for an adult ticket and the cost for a child ticket. ​

Answer 1

adult cost- $38

child cost- $16

Explanation:

184=4a+2c

200=4a+3c

you need to multiply the top equation by -1

-184=-4a-2c

200=4a+3c

16=c

plug this into one of the equations

200=4a+3(16)

200=4a+48

152=4a

a=38

finally check your answer using substitution