Question

A tour guide offers to show tourists 18 historical landmarks during a 12 3/4 day trip. How many days are needed for tourists to see 12 historical landmarks?

a) 9 1/2 days
b) 10 1/4 days
c) 8 3/4 days
d) 11 days

Answer 1

Tourists would need 11 days to see 12 historical landmarks.

Step-by-step explanation:

To find out how many days are needed for tourists to see 12 historical landmarks, we can set up a proportion using the ratio of landmarks to days. In this case, the ratio of landmarks to days is 18:12 3/4. We can convert 12 3/4 to an improper fraction by multiplying the whole number (12) by the denominator (4) and adding the numerator (3) to get 51/4.

So the proportion becomes:
18/12 3/4 = 12/ x

Cross-multiplying we get: 18x = 12(51/4)

Simplifying the right side of the equation, we have: 18x = 612/4

Dividing both sides of the equation by 18, we find: x = (612/4) / 18 = 816/72 = 11/1 = 11

Therefore, tourists would need 11 days to see 12 historical landmarks.