Math problem that has me confused

Question

sam is planning a party. the event coordinator charges a base fee of $67 and an additional $18.50 per party guest. if sam has less then $400 to spend on the party, which of the following best describes, g, all the possible number of guests that he can invite

Answer 1

This question appears to be asking you to set up an inequality with the listed information above like this:

$67 = Base Fee

$18.50g = Cost per Party Guests

$400 = Maximum amount Sam can spend

Therefore,

$67 + $18.50g < $400

Bonus

Based on the inequality listed above, we can also determine the maximum amount of guests that can be invited by solving for g in the inequality:

$67 + 18.60g < $400

18.60g < $333

g < 17.90 , let's round the number to the nearest whole number since we can't invite .90 or 90% of a guest.

g < 18

This means that the maximum amount of guests that can be invited is less than 18 people, which would be 17 people.