HELP me please!

89

Here's how:

Assuming the 25, 32 & 10 counts are included in the 46, 67 & 43 counts but the 10 count is not included in the 25 & 32 counts you have 46+67+43=159 unique purchases. Subtract the multiple purchases and you get 159-25-32-10=89 unique purchasers.

If you have trouble seeing how this works, draw a bubble diagram to show the relationships. One bubble labeled "corn" accounts for 46 total purchases; one bubble labeled "tomatoes" accounts for 67; one bubble labeled "peppers" accounts for 43. An overlap of "corn" & "tomato" account for 32 of the total; an overlap of "tomato" & "pepper" account for 25; an overlap of all three account for 10.

Savvy?

Okay, so we have three circles, the Corn, Tomato and Pepper circles. They account for 46, 67 and 43 purchases respectively for a total of 156 veggie purchases. Where all three circles overlap, there are 10 purchases. Those who bought only corn and tomatoes are 32 less 10 = 22. Those who bought only tomatoes and peppers are 25 less 10 = 15. So the total number of multiple buyers was 22 + 15 + 10 = 47. The number who bought at least one kind of veggie would be 156 - 47 = 109.

The big question in my mind is how come nobody bought only corn and peppers?

Also a correct interpretation and answer of the question as posed.

Please forgive my typo in my previous post - both 159's should be 156's as be/ael correctly calculated.

how many customers bout at least one kind of veggie at the market today ?

Simple, all of them have bought at least one kind of veggie! So we have 46 + 67 + 43 = 156.

If you want a mathematical expression, the question is asking the number of customers that have purchased a number of vegetable types > 1.

I wish I'd said that.

Let's see, now. The number who bought only one kind of veggie is 109. Right?

Wrong! There were 99 buyers as shown in the Venn Diagram above. They all bought at least one type of veggie. Some bought more.

Hi 3Doug,

I totally agree with your analysis and answer.

(with emphasis on "at least one kind of veggie!")

Happy New Year!

I would say 75.

The max number of customer that could have bought corn and peppers is 4 (46-32-10)

The tomato buyers also bought other veggies,

Therefore the maximum number of customers could then be

46 + 43 -10 = 79

The possible 4 (c+p) must be deducted from them to satisfy the at least.

79 - 4 = 75.

All of them!

I made an oops with the previous post, may I try again?

Although the problem do not state the number of customers buying corn & peppers it does not say that only 10 customers did it.

The unknown area (x) can be any number from 0 to 14.

if x is taken as 14 the total number of customers can be 20+22+10+15+14+4+0 = 71

if x is taken as 0 the total number of customers would be

20+22+14+10+15+0+18 = 99

I would therefore say that only 71 customers bought at least one kind of veggie.

Hi Guest,

Here is my humble opinion after having spent WAY to much time on this!

Charsley 99 in post 9 is correct, if unhelpful!

Ba/ael in post 8 has it exactly correct, IF 0 people bought peppers and corn.

Hendrick in post 10 is correct IF some people bought both peppers and corn, though this really should have been stated in the question.

Hope this helps.

Not to put a spanner in the works, but I thought a tomato was classified as a fruit and not a veg!

A pepper or capsicum is also a fruit.

Not to put a spanner in the works, but I thought a tomato was classified as a fruit and not a veg!

Actually, a tomato is both. Botanically speaking, it is a fruit. But legally and socially, it is a vegetable.

A local gardening show did a segment on this once. The host mentioned a court case where the judge ruled that a tomato is a vegetable. He based his ruling on how people commonly viewed and used it.

Still doesn't matter as to the answer to the question as stated. Everyone who buys a vegetable buys at least one kind of vegetable.

if a total of 25 people bought tomatoes and peppers

and a total of 32 people bought tomatoes and corn

and a total of 10 people bought tomatoes corn and peppers

so 25 + 32 + 10 = 67 people bought at least two types of veggie so far

46 bought corn -(10 +32) which means 4 people just bought corn

43 bought peppers -(10 + 25) which means 8 people just bought peppers

so 67 + 4 + 8 = 79 people bought one kind of veggie

Sorry ozzb,

You forgot to deduct the 10 people that bought tomatoes, corn and peppers from the 32 that bought ONLY corn and tomatoes, and from the 25 that bought ONLY peppers and tomatoes!

The answer is still 99!

(46 + 67 + 43)-((25+32)-10)=ans.

(all counts) - ((those counted twice) less those counted three times)

Why do I get the feeling I just did some kids homework for them?

So if my deductions are correct Watson, 46 people bought veg and 53 people bought fruit! That is if tomato's and peppers are classified as fruit!

Do we have to be politically correct as well?

If so I insist that we should consider the info that was omitted from the original question. See my post 10 about the possible 14 customers buying corn and peppers but not tomatoes.

If corn and peppers are veggies then the number should be

0 c + 22 c+t + 10 c+t+p + 15 p+t + 4 p + 14 c+p= 65

(My total at #10 should be 75)_

'Do we have to be politically correct as well?'

I prefer the word 'adaptable'! For the poster, this is a good way to learn how to look at the basic problem of sets or logic gates!

You know what I mean when I refer to logic gates? 'and', 'or', 'not', 'in this and that but not that'....you know, It's good practice to keep the grey matter moving!

Also, Happy New Year mate, hope you have a good one