Question

6 ) a group of friends decided to buy bulk chocolate from a candy store. if some friends each want $\frac{1}{3}$ of a kilogram of chocolate of the 8 kilograms of chocolate purchased, then how many people can get a share of chocolate?
7 ) one track coach wants her athletes to race 6 miles around a track to measure how fast each person can run. if the track is $\frac{1}{5}$ of a mile around, then how many laps around the track will the athletes have to run to complete the race?
8 ) after peter picked 10 kiwis, he wanted to share them with his fellow classmates. if peter wants to give $\frac{1}{3}$ of a kiwi to each of his classmates, then how many classmates will get some kiwi?
9 ) one school purchased 2 gallons of orange paint to decorate several of its classrooms. if each classroom needs $\frac{1}{2}$ of a gallon of paint, then how many classrooms will get painted?
10 ) peter made 7 pints of hot chocolate for his friends. if each of peters mugs holds $\frac{7}{8}$ of a pint of liquid, then how many friends will get hot chocolate?

Explanation:

Question 6

Step1: Identify total and per - person amount

Total chocolate is 8 kilograms, and each person wants $\frac{1}{3}$ kilogram. To find the number of people, we divide the total amount by the amount per person. The formula is $n=\frac{Total}{Per - person\ amount}$, where $Total = 8$ and $Per - person\ amount=\frac{1}{3}$.

Step2: Perform the division

Dividing by a fraction is the same as multiplying by its reciprocal. So $n = 8\div\frac{1}{3}=8\times3$.

Step3: Calculate the result

$8\times3 = 24$.

Step1: Identify total distance and per - lap distance

Total distance to run is 6 miles, and each lap is $\frac{1}{5}$ mile. The number of laps $n$ is given by $n=\frac{Total\ distance}{Per - lap\ distance}$, with $Total\ distance = 6$ and $Per - lap\ distance=\frac{1}{5}$.

Step2: Perform the division

Dividing by a fraction is multiplying by its reciprocal. So $n=6\div\frac{1}{5}=6\times5$.

Step3: Calculate the result

$6\times5 = 30$.

Step1: Identify total and per - classmate amount

Total kiwis are 10, and each classmate gets $\frac{1}{3}$ of a kiwi. The number of classmates $n$ is $n=\frac{Total}{Per - classmate\ amount}$, where $Total = 10$ and $Per - classmate\ amount=\frac{1}{3}$.

Step2: Perform the division

Dividing by a fraction is multiplying by its reciprocal. So $n = 10\div\frac{1}{3}=10\times3$.

Step3: Calculate the result

$10\times3=30$.

Answer:

24

Question 7