SOLUTION: in a survey 1/3 children like only mango and 25 donot like mango at all also 2/5 children like orange but 16 like none of them. then show above data in venn-diagram and find number

Question 1083807: in a survey 1/3 children like only mango and 25 donot like mango at all also 2/5 children like orange but 16 like none of them. then show above data in venn-diagram and find number of children who like both fruit
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
This is 2 interlocking circles giving you
3 distinct regions:
(1) Only like mango
(2) Like both mango and orange
(3) Only like orange
-------------------------------
They tell you that everything outside these
2 circles is children ( like none of them )
--------------------------------------------
Let = the total number of children
Area (1) Only like mango =
--------------------------------------
do not like mango.
Let = (3) Only like orange

---------------------------------------
= like orange
= area (2) Like both mango and orange
----------------------------------------------------
I have specified the 3 areas and also everything outside ( children )
so, now I can say:

--------------------
(2) Like both mango and orange =

So 15 children like both fruit
----------------------------
check the answer:

= area (1)
------------------------------
= area (2)
-------------------------------
= area (3)
and
= children who like neither fruit
--------------------------------------

OK

RELATED QUESTIONS
In a survey, 1/3 children like only mango and 22 don't like mango at all. also 2/5 like... (answered by richwmiller)

in a survey 1/3 like mango only ,22 donot like mango also 2/3 like orange and 12 donot... (answered by ikleyn)

A survey among 370 4th year students conducted to know in which private university do... (answered by Theo)

a survey of 100 school children was taken to determined how they liked their ice cream.... (answered by 428225,mathmate)

A music teacher has surveyed 500 students. The results of the survey are as follows: 221... (answered by greenestamps,ikleyn)

In a survey of children’s favorite fruit juices, these were the result Apple=25%... (answered by ikleyn)

According to students survey, 23 students like history, 26 students liked English, 25... (answered by ikleyn)

In Mrs. Kramer's class, 3/4 of the children like English, 5/6 of them like Problem... (answered by ikleyn)

1. 302 car stereos were recently sold in a car audio store. 149 had a CD player, 116 had (answered by Boreal)