The following figure shows a row of 5 toothpick houses a Com

The following figure shows a row of 5 toothpick houses. a. Complete the following table: b How many toothpicks will be required to build a row of 80 such toothpick houses?

Solution

a.

Number of toothpicks houses Number of toothpicks used

1 5

2 9

3 13

4 17

5 21

6 25

b.

By observing above we can easily know that,

   Number of toothpicks used=( Number of toothpicks houses * 4)+1

Similarly for row of 80 toothpick houses=(80*4)+1

=320+1=321

so 321 toothpicks are needed to build a row of 80 toothpick houses.