On solving the question, by help of Highest common Factor we got that He can only produce 4 bags before there are no more cookies left.
In mathematics, HCF is referred to by its full term, highest common factor. When dividing two or more numbers, the highest common factor (HCF) is two. For instance, the HCF of 4 and 6 is 2.
48 chocolate chips total.
64 vanilla cookies total.
100 raisin cookies are present.
[tex]HCF - 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24,48.\\64 = 1, 2, 4, 8, 16, 32 , 64\\100 = 1, 2, 4, 5, 10, 20, 25, 50, , 100.[/tex]
4 = highest common factor of 48, 64 and 100
As a result, he can only produce 4 bags of cookies until none are left over.
For each bag:
cookies and chocolates = 48/4
= 12 each
64/4 vanilla cookies
= 16 each
100/4 raisins in cookies
= 25 each
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