In a class of 50 student the number of student who offer Accounting is twice as the number who offer Economics. 10 student offer neither of the two subject and 5student offer both subject
i.illustrate the information on a Venn diagram
ii.how many student offer Accounting
III.how many student offer Economics
iv.how many student offer only one subject
i. Here is an illustration of the information given on a Venn diagram:
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Accounting
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5 ?
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10 ?
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Economics
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ii. From the given information, we know that the number of students who offer Accounting is twice the number who offer Economics. Let's represent the number of students who offer Economics as "x". Therefore, the number of students who offer Accounting is 2x.
In this case, we are also given that 5 students offer both Accounting and Economics. So we can write the equation: x + 5 + 2x = 50 (total number of students), which simplifies to 3x + 5 = 50.
Solving this equation gives us: 3x = 50 - 5 => 3x = 45 => x = 15.
Therefore, the number of students who offer Accounting is 2x = 2*15 = 30.
iii. The number of students who offer Economics is given by "x", which we found to be 15.
iv. The number of students who offer only one subject can be calculated by subtracting the number of students who offer both subjects from the total number of students who offer each subject.
For Accounting: 30 (number of students who offer Accounting) - 5 (number of students who offer both subjects) = 25 students offer only Accounting.
For Economics: 15 (number of students who offer Economics) - 5 (number of students who offer both subjects) = 10 students offer only Economics.