Christmas or Easter

Please calculate this example by the Venn equation.

They asked 73 students whether they like Christmas or Easter. 34 of them like one of the holidays. 39 loves Easter. There are twice as many students who wish both holidays than those who only love Easter.

How many students only like Christmas (a =)?
How many students do not like any of the holidays (b =)?

Correct result:

a =  21
b =  13

Solution:

73 = a + b + 39
34 = a + 39 - c
c = 2•(39-c)

a+b = 34
a-c = -5
3c = 78

a = 21
b = 13
c = 26

Calculated by our linear equations calculator.

$b=13$

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