For the school play, the advance tickets cost $3, while tickets at the door cost $5. there were twice as many tickets sold at the door as were sold in advance, and $4030 was collected. how many of each kind of ticket were sold?

Step-by-step explanation:

Let x represent the number of advance tickets sold

Let y represent the number of tickets sold at the door.

There were twice as many tickets sold at the door as were sold in advance. This means that

y = 2x

For the school play, the advance tickets cost $3, while tickets at the door cost $5 and a total of $4030 was collected. This means that

3x + 5y = 4030 - - - - - - - - - -1

Substituting x = 2y into equation 1. It becomes

3× + 5×2x = 4030

3x + 10x = 4030

13x = 4030

x = 4030/13

x = 310

y = 2x

y = 310×2 = 620 tickets

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it