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.
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.