Answer: the number of months for which Brittany can be a member of Chloe's gym is 10
Explanation:
Let x represent the number of months for which Brittany can be a member of Chloe's gym.
Chloe's gym charges an initial membership fee of $55 and a monthly fee of $19.50. This means that for x months, the total charge for a month would be
19.5x + 55
If She has $250 to spend on a membership for the gym, then an expression to find the number of months Brittany can be a member of Chloe's gym would be
19.5x + 55 = 250
19.5x = 250 - 55 = 195
x = 195/19.5
x = 10