There are 500 tickets for sale in a raffle. tickets cost $3 each, or $20 for a book of 10. all 500 tickets were sold, and $1350 was raised. how many books of 10 tickets were sold?

15 booklets of 10 tickets each were sold.  

Step-by-step explanation:

We are given the following information:

Let x be the number of single tickets sold and y be the number of booklets sold.

Each booklet consist of 10 tickets.

There are total of 500 tickets.

Thus, it can be represented by the equation:

The cost of single ticket = $3

Cost of booklet = $20

Total money raised = $1,350

This, can be represented in the equation:

Now, we have obtained two equation in two variable. Solving these equations, we get:

Thus, 15 booklets of 10 tickets each were sold.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.