Respuesta :
Answer:
Largest possible number of sweets in each tray[tex]=4[/tex]
Step-by-step explanation:
Given:
Number of orange-flavored sweets = 36
Number of grape-flavored sweets = 44
To find: largest possible number of sweets in each tray
Solution:
HCF(highest common factor) of two or more numbers refers to the greatest number which can divide the given numbers
To find largest possible number of sweets in each tray, find the HCF(highest common factor) of 36 and 44.
[tex]36=2^{2}\times 3^{2}\\44=2^{2}\times 11[/tex]
So,
[tex]HCF(36,44)=2^{2}=4[/tex]
So,
Largest possible number of sweets in each tray[tex]=4[/tex]
The largest possible number of sweets in each tray is 4.
In order to determine the largest possible sweets in each tray, the highest common factor of the number of sweets have to determined. The highest common factor is the highest factor that is common to two or more numbers.
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Factors of 44 = 1, 2, 4, 11, 22, 44.
Common factors = 1, 2, 4
Highest common factor - 4
To learn more about highest common factor, please check: brainly.com/question/18650233?referrer=searchResults
