Question

1. two motels promoted packages for one night and two night stays. this table records the results.

motel x 311 453
motel y 536 708
4a what percentage of the stays are two night stays? express your answer correct to two decimal places.
answer = 57.82%
5 well done!
4b what fraction of the two night stays were in motel x?
answer = enter your next step here

Explanation:

Step1: Find total two - night stays

The number of two - night stays in Motel X is 453 and in Motel Y is 708. So the total number of two - night stays is \(453 + 708=1161\).

Step2: Find the fraction

The number of two - night stays in Motel X is 453, and the total number of two - night stays is 1161. So the fraction is \(\frac{453}{1161}\). We can simplify this fraction by dividing both the numerator and the denominator by 3: \(\frac{453\div3}{1161\div3}=\frac{151}{387}\approx0.3902\) (but we can also present it as a reduced fraction). Since 151 is a prime number (it is only divisible by 1 and itself) and 151 does not divide 387 ( \(387\div151 = 2\) with a remainder of \(85\)), the fraction \(\frac{453}{1161}=\frac{151}{387}\). If we want to present it as a decimal - based fraction, \(\frac{453}{1161}\approx\frac{453}{1161}\) (or the simplified form \(\frac{151}{387}\)).

Answer:

\(\frac{151}{387}\) (or \(\frac{453}{1161}\))