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twelve of the 20 students in mr. skinner’s class brought lunch from home. fourteen of the 21 students in ms. cho’s class brought lunch from home. siloni is using two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria.

if each spinner is divided into 15 congruent sectors, how does the spinner representing mr. skinner’s class differ from the spinner representing ms. cho’s class?

a. one more sector of the skinner-class spinner will represent bringing lunch from home.
b. one fewer sector of the skinner-class spinner will represent bringing lunch from home.
c. two more sectors of the skinner-class spinner will represent bringing lunch from home.
d. two fewer sectors of the skinner-class spinner will represent bringing lunch from home.

Solution:

Number of students in Mr.Skinner's class who brought lunch from home if there are 20 students in the class=12

Fraction of students who brought lunch from home in Mr. Skinner's class=

Number of students in Ms. Cho's class who brought lunch from home if there are 21 students in the class=14

Fraction of students who brought lunch from home in Ms. Cho's class=

As Siloni is using  two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria.

Number of Congruent sectors in each Spinner=15

So, if we represent students from Mr. Skinner's class who brought lunch from home in Spinner having 15 congruent Sectors =

So, if we represent students from Mrs. Cho's class who brought lunch from home in Spinner having 15 congruent Sectors =

Mr Skinner class +1 = Mr's Cho's Class

So Ms Cho's class =One more sector of the Skinner-class spinner will represent bringing lunch from home.

Option A which is One more sector of the Skinner-class spinner will represent bringing lunch from home represents Ms Cho's Class.

Step-by-step explanation:

One more sector of the Skinner-class spinner will represent bringing lunch from home.

Step-by-step explanation:

Given

Number of students in Mr.Skinner's class = 20

Number of those who brought lunch from home = 12

Their fraction = 12/20 = 3/5

Number of students in Ms. Cho's class = 21

Those who brought lunch from home = 14

Their Fraction = 14/21 = ⅔

Given that Siloni is using two 15-section spinners to simulate randomly selecting students from each class.

This means that we have to calculate the proportion of students who brought food from home in both classes;

From Mr. Skinner's class;

Proportion = 3/5 * 15

Proportion = 3 * 3

Proportion = 9

From Ms. Cho's class;

Proportion = ⅔ * 15

Proportion = 2 * 5

Proportion = 10

Before we make our conclusion, we have to check the relationship between these two proportions

Let the difference between these two classes be represented by x

Since Ms. Cho's 10 > Mr.Skinner's 9

We have;

10 = 9 + x

9 + 1 = 9 + x

At this point, we notice that

Ms Cho's class is one more sector of the Skinner-class.

So, the right answer is A.

One more sector of the Skinner-class spinner will represent bringing lunch from home.

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step-by-step explanation: