How many guests are there?" said the official.
"I don't know.” said the cook, "but every 2 used a dish of rice, every 3 used a dish of broth, and every 4 used a dish of meat between them".
"I don't know.” said the cook, "but every 2 used a dish of rice, every 3 used a dish of broth, and every 4 used a dish of meat between them".
There were 65 dishes in all. How many guests were
there?
Solution: Solve Algebra Equation.
Let’s suppose, G= Guests.
Every 2 used a dish of rice, means, G/2
Every 3 used a dish of broth, means, G/3
Every 4 used a dish of meat, means, G/4
Here the puzzle used “and” word means we are going to add
them together, but there were 65 dishes in all.
Equation is: G/2+ G/3+
G4= 65.
It has a common denominator,
which is 12.
Therefore, 13G/12
= 65
G=60.
The answer is: there was a total of 60 guests.
No, it doesn't make a difference to our students to offer
examples, puzzles, and histories of mathematics from diverse cultures.
Yes, the word problem/ puzzle story makes a difference to our enjoyment of solving it because students are actively involved in the learning process andthey like to learn math with fun.
Yes, the word problem/ puzzle story makes a difference to our enjoyment of solving it because students are actively involved in the learning process andthey like to learn math with fun.
OK, but it is not enough just to say 'no' or 'yes'! You should explain why you think this is so.
ReplyDeleteOK, but it is not enough just to say 'no' or 'yes'! You should explain why you think this is so. It would also be helpful to try to solve this puzzle without using modern algebra...
ReplyDelete