Question

The following question has two parts. First, answer part A. Then, answer part B. The following information applies to both parts.Dario purchased a party size sub, and he decides to share it with 3 of his friends. So, he cuts the sub into 4 equal pieces. However, another one of his friends also showed up, and there are now 5 people in total.Part ANow that the sub will be shared equally among 5 people, will each person get more or less sub? Briefly state why you think so.Math symbols+−×÷(·)[·]=<>≠$°?

Answer 1

Part A

Initially

the sub is divided into 4 equal parts

so

each part is 1/4

Now

The sub must be divided into 5 equal parts

each part must be 1/5

that means

Each person will get less sub

because

1/5 < 1/4

Part B

Divide each piece of 1/4 by 5

so

(1/4) : 5=1/20

Each person will get 4*(1/20)=4/20

simplify

4/20=1/5

Answer 2

Part A

Initially

the sub is divided into 4 equal parts

so

each part is 1/4

Now

The sub must be divided into 5 equal parts

each part must be 1/5

that means

Each person will get less sub

because

1/5 < 1/4

Part B

Divide each piece of 1/4 by 5

so

(1/4) : 5=1/20

Each person will get 4*(1/20)=4/20

simplify

4/20=1/5

The answer Part B is 1/5