Rachel bought 12 souvenirs during 2 days of vacation. How many days will Rachel have to spend on vacation before she will have bought a total of 18 souvenirs? Assume the relationship is directly proportional.

days

Let's set up a proportion using the number of souvenirs Rachel bought and the number of days she spent on vacation.

12 souvenirs / 2 days = 18 souvenirs / x days

Cross-multiplying, we get:

12 * x = 18 * 2

12x = 36

x = 36 / 12

x = 3

Therefore, Rachel will have to spend 3 days on vacation before she will have bought a total of 18 souvenirs.