Thomas was selling tickets to his school play. the tickets cost $5.00 for adults and $2.00 for children. he sold 200 tickets and collected $610. which system represents the number of adult and child tickets that thomas sold?

Thomas sold 70 adult and 130 child tickets.

The total revenue through an item is the product of its cost per unit and the number of units sold.

Ticket cost for adults = $5.00,

Ticket cost for children = $2.00

Total number of ticket sold = 200

Total revenue generated = $610

Let's assume that the number of adults tickets sold is x, and the number of children tickets sold is y.

Total number of tickets sold

                                 = Ticket cost for adults + Ticket cost for children

Substituting the values,                          

200 =

Revenue generated through adult ticket

                      = Ticket cost for adults x number of adults tickets sold

                      =  =  

Revenue generated through children ticket

                      = Ticket cost for children x number of children tickets sold

                      =  =  

Total revenue generated

= Revenue through adult ticket +Revenue through children ticket

Substituting the values,

Substituting the value of x,

Substituting the value of y,

Hence, Thomas sold 70 adult and 130 child tickets.

Learn more about cost and revenue:

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b.an increase in a causes b to decrease

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40