contestada

A relief worker needs to divide 1350 bottles of water and 144 cans of food into groups that each contain the same number of items.​ Also, each group must contain the same type of item​ (bottled water or canned​ food). What is the largest number of relief supplies that can be put in each​ group?

Respuesta :

Answer:

maximum of 18 groups, with 75 bottled water and 8 canned food

Step-by-step explanation:

This problem is related to HCF

So you have to find the HCF of the two number of products

[tex]1350=2*3^{3}*5^{2}[/tex]

[tex]144=2^{4}*3^{2}[/tex]

next, search the factors that are in common between the two numbers.

[tex]2*3^{2}=18[/tex]

18 is going to be the number of maximum groups you can make because it is related to the combination of integers that generates the number of products.

To find the number of bottles and cans, just divide the amount you have with the amount of group.

[tex]\frac{1350}{18}=75[/tex]  bottles of water

[tex]\frac{144}{18}= 8[/tex] cans

Hope you have a nice day!

Otras preguntas