admission costs $8 more for adults than for children. admission costs $8 more for adults than children. 4 adults and 6 children costs 272. find the cost of each

Question

help. due today, math substitution and addition word problem

Answer 1

Let c = the cost per child in dollars;  An adult ticket is $8 more than a child's ticket, so     c + 8  will stand for an adult ticket.      There are 6 children; the cost of their tickets is    6c (6 multiplied by c)     There are 4 adults;  their total cost is 4(c +8).

 

 

Our equation is 4(c + 8) + 6c = 272   

 

Working this out leads us to:   4c +32 + 6c = 272  This leads to:   10c + 32 = 272      Subtracting 32, we get  10c = 240, so each child's ticket is $24       Adult tickets are $32   (since they are c + 8)   Be sure to plug the numbers back in and check the answer.