A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85 Adult tickets are $15 each and tickets are $5 each. Let X represent adult tickets. Let y represent child tickets Write an equation to model the total amount of money that they spent.

250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85 Adult tickets are $15 each and tickets are $5 each. Let X represent adult tickets. Let y represent child tickets Write an equation to model the total amount of money that they spent.The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantityvaluetotal$3 ticketsx33x$2 ticketsy22ytogether350950

Step 3: Add down each column to get the equations

x + y = 350                    (equation 1)

3x + 2y = 950                (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

 250 $3 tickets and 100 $2 tickets were sold.

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

so, converting firstly the mixed fractions to improper fractions and then "adding".