Beth and Kelly spent the same total amount of money for dog sitting while on vacation. Beth took her dog, Pockets, to Rover Sleepover and was charged $24.50 per day and a fee of $90.50 for food and cleaning. Kelly took her dog, Monty, to Pet Palace and was charged $32 per day and a $45.50 cleaning fee.

Question

Beth and Kelly spent the same total amount of money for dog sitting while on vacation. Beth took her dog, Pockets, to Rover Sleepover and was charged $24.50 per day and a fee of $90.50 for food and cleaning. Kelly took her dog, Monty, to Pet Palace and was charged $32 per day and a $45.50 cleaning fee.

How many days were Beth and Kelly on vacation?

Question Blank 1 of 1

days

Answer 1

Let x be the number of days Beth and Kelly were on vacation.

For Beth:
Total cost = 24.5x + 90.5

For Kelly:
Total cost = 32x + 45.5

Since they spent the same amount of money:
24.5x + 90.5 = 32x + 45.5
90.5 - 45.5 = 32x - 24.5x
45 = 7.5x
x = 6

Beth and Kelly were on vacation for 6 days.