during a bake sale 1 1\2 dozen cookies were sold in 1\3 hour. what is the unit rate for the dozens of cookies sold per hour
(1 1/2) * 3 = ?
1.5 * 3 =?
To find the unit rate for dozens of cookies sold per hour, we will divide the number of dozens of cookies sold by the time it took to sell them.
1 1/2 dozen cookies is equal to 1 + 1/2 = 3/2 dozen cookies.
Since the time is given in 1/3 hour, we can convert it to minutes to make it easier.
1/3 hour is equal to 60/3 = 20 minutes.
Now, let's calculate the unit rate:
(3/2 dozen cookies) / (20 minutes) = (3/2 dozen cookies) / (1/3 hour) = (3/2) × (3/1) = 9/2
The unit rate for dozens of cookies sold per hour is 9/2. Therefore, 9/2 dozen cookies were sold per hour.
To find the unit rate for the dozens of cookies sold per hour, we need to divide the number of dozens of cookies sold by the time in hours.
In this case, it is given that 1 1/2 dozen cookies were sold in 1/3 hour.
Step 1: Convert 1 1/2 dozen to a fraction.
1 1/2 = (2/2 + 1/2) = 3/2
Step 2: Divide the number of dozens of cookies sold by the time in hours.
Unit rate = (3/2) dozen / (1/3) hour
Step 3: Simplify the unit rate.
To divide fractions, we invert the divisor and multiply.
Unit rate = (3/2) * (3/1)
= 9/2
So, the unit rate for the dozens of cookies sold per hour is 9/2 dozens per hour.