700 tickets were sold for a game for a total of $1,250.00. If adult tickets sold for $2.00 and children's tickets sold for $1.50, how many of each kind of ticket were sold?

400 adult tickets and 300 children's tickets were sold

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of children's tickets tickets that were sold.

700 tickets were sold for the game. It means that

x + y = 700

If adult tickets sold for $2.00 and children's tickets sold for $1.50 and the total amount for which the tickets were sold $1250, iteans that

2x + 1.5y = 1250- - - - - - - - -1

Substituting x = 700 - y into equation 1, it becomes

2(700 - y) + 1.5y = 1250

1400 - 2y + 1.5y = 1250

- 2y + 1.5y = 1250 - 1400

0.5y = 150

y = 150/0.5

y = 300

x = 700 - y = 700 - 300

x = 400

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.