Lucia's retirement party will cost $27 if she invites 9 guests. What is the maximum number of guests there can be if Lucia can afford to spend a total of $42 on her retirement party? Solve using unit rates.

Answer 1

To find the maximum number of guests Lucia can invite, we need to determine how much it costs per guest.

Given that Lucia will spend a total of $27 to invite 9 guests, we can set up the following unit rate:

Cost of inviting 9 guests = $27

Unit rate per guest = $27/9 guests = $3/guest

Now we can use the unit rate to find the maximum number of guests that Lucia can invite for $42.

Cost of inviting maximum number of guests = $42

Maximum number of guests = ($42) / ($3/guest) = 14 guests

Therefore, the maximum number of guests that Lucia can invite is 14.