A baseball team is having an end of the year party and the coach wants to purchase gloves and baseballs for the team. Gloves are sold in cases of 8 and baseballs are sold in cases of 12. The coach wants to buy the exact same number of gloves as baseballs.What is the least number of gloves and baseballs he would have to purchase to have the same number of each?

Respuesta :

Answer: 24 is the least number of gloves and baseball need to purchase .

Step-by-step explanation:

Given:  Gloves are sold in cases of 8 and baseballs are sold in cases of 12.

To get the  exact same number of gloves as baseballs, the least number of gloves and baseball need to purchase = L.C. M. (8,12)

[L.C.M.= Least common multiple]

Since 8 = 2 x 2 x2

12 = 2 x 2 x 3

So,  L.C. M. (8,12) = 2 x 2 x 2x 3 = 24

Hence, the least number of gloves and baseball need to purchase = 24