A barber gives 16 haircuts in 5 hours. In minutes, at what rate is the barber giving one haircut? How many haircuts can he give in 8 hours? (Round the answer.)
Responses
A 18.75 minutes; 25 haircuts18.75 minutes; 25 haircuts
B 12 minutes; 40 haircuts12 minutes; 40 haircuts
C 21 minutes; 22 haircuts21 minutes; 22 haircuts
D 15 minutes; 32 haircuts
wrong again
16 haircuts per 5 hours , or 16 haircuts in 300 minutes
1 haircut in 5/16 hours = 300/16 minutes = 18.75 minutes
5 hours for 16 haircuts
1 hour for 16/5 haircuts
8 hours ----> 8(16/5) haircuts = 25.6 haircuts
To find the rate at which the barber gives one haircut in minutes, we need to divide the total time by the number of haircuts.
5 hours is equal to 5 x 60 = 300 minutes.
So, the barber gives one haircut in 300 / 16 = 18.75 minutes.
To find how many haircuts the barber can give in 8 hours, we need to multiply the number of haircuts per minute by the total minutes.
The barber gives one haircut in 18.75 minutes.
So, in 8 hours (8 x 60 = 480 minutes), the barber can give 480 / 18.75 = 25.6 haircuts.
Since haircuts can't be fractional, we round the answer to the nearest whole number.
Therefore, the barber can give 26 haircuts in 8 hours.
The correct answer is A) 18.75 minutes; 25 haircuts.
To find the rate at which the barber gives one haircut in minutes, we need to divide the number of haircuts by the number of hours.
First, we convert the 5 hours into minutes by multiplying it by 60 (since there are 60 minutes in an hour).
5 hours x 60 minutes/hour = 300 minutes
Next, we divide the number of haircuts, which is 16, by the number of minutes, which is 300.
16 haircuts / 300 minutes = 0.0533 haircuts/minute
Rounding to the nearest hundredth, the barber gives one haircut at a rate of approximately 0.05 haircuts/minute.
Now, to find how many haircuts the barber can give in 8 hours, we use the rate of haircuts per minute we just calculated.
0.05 haircuts/minute x 60 minutes/hour = 3 haircuts/hour
Finally, we multiply the number of haircuts per hour, which is 3, by the total number of hours, which is 8.
3 haircuts/hour x 8 hours = 24 haircuts
Therefore, the barber can give approximately 24 haircuts in 8 hours.
The correct answer is option D: 15 minutes; 32 haircuts.
15 minutes; 32 haircuts
Answer: D 15 minutes; 32 haircuts