Each adult ticket has a different price value . Felicia's mom bought a total of 20 tickets for the family.

Each child ticket cost $5.25 and each adult ticket cost $7.75.

Felicia's mom spent a total of $140 on all of the tickets

Step-by-step explanation:

c+a=20

a=20-c

5.25c+7.75a=140, using a from above makes this

5.25c+7.75(20-c)=140

5.25c+155-7.75c=140

-2.5c+155=140

-2.5c=-15

c=6

a=20-c=20-6=14

So she bought 14 adult and 6 children tickets.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions