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A=100%

b=3
c=-4
d=9
e=3
f=5
g=3
h=-1
All students at a school were asked if they like Red or Green tomatoes. Their answers are summarized in the Venn Diagram shown here. What percentage of students at the school don't like Red? Write your answer below in decimal form rounded to two decimal places. (Hint: Find x first)

A=100% b=3 c=-4 d=9 e=3 f=5 g=3 h=-1 All students at a school were asked if they like-example-1

1 Answer

3 votes

Answer:

64.66

Explanation:

Given,

a=100%

b=3

c=-4

d=9

e=3

f=5

g=3

h=-1

To find x,

a = bx + c + d + ex + f +gx + h

100 = 3x - 4 + 9 +3x + 5 + 3x - 1

100 = 9x + 9

91 = 9x

91/9 = x

x = 10.11

The students who don't like RED are,

ex + f + gx +h

= 3(10.11) + 5 + 3(10.11) - 1

= 60.66 + 4

= 64.66

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