Tickets for a play were $2 for each child and $4 for each adult. At one showing of the play, one adult brought 4 children and the remaining adults brought 2 children each. The total ticket sales from the children and adults are $60. How many CHILDREN attended the play

16

Step-by-step explanation:

Tickets for a play were $2 for a child and $4 for an adult.

Tickets price for a child= $2

Tickets price for an adult= $4

One adult brought 4 children. This will give a price of:

(1×4) + (2×4) = 4+8 = $12

The remaining adults brought 2 children each.

Let the remaining adults be y. Each adult will spend:

4+(2×2) = 4+4 = $8

Since there are y adults, it will give 8×y = 8y.

8y + 12 = 60

8y = 60-12

8y = 48

y = 48/8 = 6

The remaining adults are 6. Since we had one adult earlier, total adults will be 7.

To get the number of children that went to the play will be:

(P × number of children) + (price× number of adults) = $60

= (2 × children) + (4 × 7) = $60

= (2 × children) + $28 = $60

= (2 × children) = $60 - $28

= (2 × children) = $32

Children= 32/2

Children= 16

There are 16 children at the play.