Question

write and solve system of equations - an adult ticket to a museum costs $3 more than a childrens ticket. when 200 adult tickets and 100 childrens tickets are sold, the total revenue is $2100. what is the cost of a childrens ticket

Answer 1

$5

Explanation:

Let the cost of a children's ticket be x.

The cost of an adults ticket would be x + 3. (adult ticket costs $3 more than a children's ticket.)

200 adult tickets would cost 200(x+3), and 100 children's ticket would cost 100x.

The combined costs of children's ticket and adult would be 200(x+3) + 100x.

Using these information, the equation: 200(x+3) + 100x = 2100 can be formed.

200(x+3) + 100x = 2100

200x + 600 + 100x = 2100

300x = 1500

x = 5

The children's ticket cost $5.

Double check.

200*8 + 100*5 = 2100.

Answer 2

4$ for kids $7 for adult

explanation
$2100 divided by 300=7
and we know adult tickets are $3 more than children’s so children’s tickets are $4 and adult tickets are $7