Question

Suppose that the grade 7 students expect to sell between 100 and 150 hot dogs how many packages of 12 wieners and 8 buns should the students buy if they don't want any leftovers justify your answer

Answer 1

You have to find the common multiple between 100 and 150

multiples of 8: 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120 ,128 , 136, 144

multiples of 12: 12,24,36,48,60,72,84,96,108, 120, 132, 144

The GCL  (Greatest common multiple) is 144 that is lower than 150 hotdogs, so it is 144.
12 packs of weiners, 18 packs of buns.

Answer 2

They would have to buy 10 packs of wieners and 15 packs of buns because 12 x 10 would equal 120 and 8 x 15 would also equal 120 leaving no leftover and keeping the number of hot dogs in the 100 - 150 range