Question

1.
In a class of 345 students, the students who took English, Math and
Science are equal in number. There are 30 students who took both
English and Math only, 26 who took both Math and Science only, 28
who took Science and English only and 14 who took all the 3 subjects.
There are 43 students who didn't take any of the subjects. What
percent of students did not take Science?
Plz also explain how you got the answer​

Answer 1

Step-by-step explanation:

• Number of students who enrolled in at least one of the clubs = 345 – 43 = 302

• Number of students enrolled in only English and math club = 30 – 14 =16

• Number of students enrolled in only Math and Science club = 26 – 14 =12

• Number of students enrolled in only Science and English club = 28 – 14 =14

o a + b + c + 16 + 12 + 14 + 14 = 302

o a + b + c = 246

Answer 2

Concept :

A group of unique objects is referred to as a set. The objects might be referred to as elements or set members. Since an element belongs to a set either explicitly or implicitly, a set does not list the same element more than once. A set is a mathematical representation of a group of diverse items. A set has elements or components, which can be any type of mathematical object, including numbers, symbols, lines, points in space, other geometric structures, parameters, and perhaps other sets.

Given:

In a class of $345$ students, the students who took English, Math and

Science are equal in number. There are $30$ students who took both

English and Math only, $26$ who took both Math and Science only, $28$

who took Science and English only and $14$ who took all the $3$ subjects.

There are $43$ students who didn't take any of the subjects.

Find:

Percentage of students did not take Science.

Solution:

According to the problem,

Number of students who enrolled in at least one of the clubs = $345 - 43 = 302$

• Number of students enrolled in only English and math club = $30 - 14 =16$

• Number of students enrolled in only Math and Science club = $26 - 14 =12$

• Number of students enrolled in only Science and English club = $28 - 14 =14$

So,

a + b + c + $16 + 12 + 14 + 14 = 302$

a + b + c = $246$

So, the percent of students who did not take Science = $( 246 / 345 )$ × $100$ = $71.3$

Hence percent of students who did not take Science is $71.3$

SPJ2