Question

The Johnson’s family attended a concert and visited an art museum. Concert tickets were $24.75 for adults and $16.00 for children, for a total of $138.25. Museum tickets were $8.25 for adults and $4.50 for children, for a total cost of $42.75.How many adults and how many children are in the Johnson’s family?

Answer 1

There are 3 adults and 4 children.

Explanation:

Set up a systems of equation to find the number of adults and children.

x= adults

y= children

24.75x+16.00y= 138.25

8.25x+4.50y= 42.75

Solve with elimination, so by multiplying the second equation by -3, we can cancel out the x variable and solve for y.

24.75x+16.00y= 138.25

-24.75x-13.50=-128.25

Subtract both equations from each other.

250y=1000

Solve for y.

y= 4

Now that you have the value for y, you can substitute 4 for y in one of your equations to find x.

8.25x+4.50y= 42.75

8.25x+4.50(4)= 42.75

8.25x+18= 42.75

8.25x= 24.75

x=3

There are 3 adults and 4 children.