Question

Hardest math question in the world?
Owen made 100 sandwiches which
she sold for exactly $100. She sold
caviar sandwiches for $5.00 each, the
bologna sandwiches for $2.00, and
the liverwurst sandwiches for 10 cents.
How many of each type of sandwich
did she make?

Answer 1

why is this the hardest?

Answer 2

is it the hardest because the girl comes from the sort of home where her parents named her owen?

Answer 3

She is a sandwich

Answer 4

c+b+L=100
5c+2b+0.1L=100
You have more unknowns than equations. This will have more than one answer.
Too easy.

Answer 5

Hehe I guess I will take that as a correct answer :D

Answer 6

you may not have more than one answer as any answers that contain negatives can be thrown away (no physical meaning with respect to the question)

Answer 7

Lol

Answer 8

Alright then.
Here's a valid answer:
11 caviar sandwiches
19 bologna sandwiches
70 liverwurst sandwiches.
11+19+70=100
11*5+19*2+70*.1=55+38+7=100

Answer 9

Count = zeros(101,101,101);
Cost = zeros(101,101,101);
Solutions = [];
for i = 1:101
for j = 1:101
for k = 1:101
Count(i, j, k) = i-1+j-1+k-1;
Cost(i, j, k) = 5*(i-1) +2*(j-1)+0.1*(k-1);

if (Count(i,j,k) == 100) && (Cost(i,j,k)==100)
newSolution = [i-1,j-1,k-1];
Solutions = [Solutions,newSolution];
end
end
end
end

give [11,19,70] for Caviar, Bologna, Liverwurst respectively

Answer 10

@Mathmuse . Cool, though 8 cells and three conditions in excel with the solver did the trick for me.

Answer 11

haha, dang. intially i wanted to plot the solution, but then i pulled the plug on sinking too much time into it