PROBLEM:  I need to cater a party with people who would like to have a simple BBQ with hot dogs. Since I hate having extra hotdogs or buns I need to know what is the better deal? Buying Hebrew National hotdogs which are $3.50 for 7 (package A) or another kosher brand that is $5 for 10 (package B). Hot dogs buns only come in packages of 8 and i need at least 50 hot dogs & buns. Whatever the choice, there should be no extra hotdogs or buns.
PROBLEM TYPE:  Is LCM (least common multiple).
WHAT I NEED TO FIND:  What is the better deal: $3.50 for 7 buns or $5 for 10 buns.  I need to find the LCM for 7 and 10.
GIVEN:  The prices of each package and how many buns are in each package.
TRICKS I’LL USE:  The trick I will use is LCM for 7 and 10 that is closer to 50
SOLUTION:  (for package A)
Step 1: LCM for 7 that is closer to 50 is 49 (7x7=49)
Step 2: I want 7 packages so $3.50×7= $24.50 and if there’s 7 buns in each package then I will get 49 buns total.
SOLUTION:  (for package B)
Step 1: LCM for 10 that is closer to 50 is 50 (10x5=50)
Step 2: I want 5 packages so $5.00x5=$25.00 and if there’s 10 bunes in each package then I will get 50 buns total.
ANSWER:  Package B of 10 buns for $5