Question

On Sunday, Steve, Jo, Lucy, Max, and Alex decide to throw aparty. On Monday, they each invite 3 friends. On Tuesday, thefriends that were invited on Monday each invite 3 more people.On Wednesday, the people who were invited on Tuesday eachinvite 3 more people.If this continues, how many people will be invited on Saturday toattend the party?

Answer 1

Step 1. The party will be thrown by Steve, Jo, Lucy, Max, and Alex --> 5 people.

On Monday, each invites 3 friends. So for, the number of people invited is:

`5*3=15`

Step 2. On Tuesday, the friends that were invited (15) invited 3 more people each. The number of people invited now is:

`15*3=45`

Step 3. On Wednesday, the 45 people invited on Tuesday, each invite 3 more people. The number of people invited again multiplies by 3:

`45*3=135`

Step 4. The trend continues so for Thursday, the number of people invited on the previous day multiplies by 3:

`135*3=405`

Step 5. On Friday the number of people invited is:

`405*3=1,215`

Step 6. Finally, on Saturday, the day of the party, the number of people invited is multiplied one last time by 3:

`1,215*3=3,645`

Answer:

3,645