Posted by Pam J. on Thursday, March 1, 2012 at 8:19am.
The art department had a party at the teacher's house. There are 50 brownies and 40 celery sticks served as refreshments. Each art student had the same number of brownies and the same number of whole celery sticks, & nothing was left over. The art teacher didn't eat. What is the largest number of art members that might have been at the party?

Can' t Figure Out: Math  HCF  MathMate, Thursday, March 1, 2012 at 9:12am
Here we look for the highest number of members N. Since each member eats the same number of celery (c) and brownies (b), then
Nb=50 and Nc=40
We need to find the highest common (HCF) denominator of 50 and 40 to find N.
There are two ways to find the HCF.
The traditional way taught in schools is
to factorize the numbers and extract common factors. These factors are then multiplied to give the HCF.
50=2*5*5
40=2*2*2*5
So we see that the common factor is 2*5=10, which is the HCF.
The other way is using Euclid's algorithm, which is suited for mental calculations.
Take the difference between the two numbers, and repeat using the smaller number and the difference until the difference divides the smaller number.
5040=10. Since 10 divides 40, 10 is the HCF.
Answer This Question
Related Questions
 Algebra  Josh and Racquel sold cookies and brownies at the math club bake sale...
 MATH  a person has 56 brownies to package for bake sale. the brownies will be ...
 math 2nd grade  valarie makes 2 pans of brownies for a bake sale. She cuts each...
 math  valarie makes 2 pans of brownies for a bake sale. She cuts each pan into ...
 Math  Miles stared with 10 brownies each day to sell at a bake sale. He sold 3/...
 Math  Sally has 4.5 cups of sugar. She needs to bake brownies for for a bake ...
 Math  John wants to make brownies. To make brownies he needs 2/5 of a cup of ...
 math  The school had a bake sale to raise money. A group of 11 students bought ...
 Math  The school had a bake sale to raise money. A group of 11 students bought ...
 math help please  An art teacher had a total of t markers. He gave an equal ...
More Related Questions