a holiday concert chargers $4 for children and $8 for adults . there are 325 tickets sold for a total of $2100. Write a system of linear equations and solve it using substitution

Question

a holiday concert chargers $4 for children and $8 for adults . there are 325 tickets sold for a total of $2100. Write a system of linear equations and solve it using substitution

Answer 1

c + a = 325

$4 for children, $8 for adults

4c +8a = $2100

divide by 4

c+2a = 525

c+a = 325

subtract

2a -a = 525-325

a=200 adults

c =325 - a = 325-200 = 125 children

4c+8a

= 4(125) + 8(200)

= 500+1600

= 2100

Answer 2

c represents the number of children.

325 - c represents the number of adults

4c + 8(325 - c) = 2100

Can you solve for c and answer?