Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 chocolate chip cookies and 42 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
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Answers
Answered by
135
Find the prime factors
86 = 2 x 43
42 = 2 x 3 x 7
Find the HCF:
HCF = 2
Find the number of cookies in each package:
chocolate cookies = 86 ÷ 2 = 43
Sugar cookies = 42 ÷ 2 = 21
Answer: 2 identical package with 43 chocolate cookies and 21 sugar cookies.
Answered by
19
The greatest number of identical packages that Shaquira can make is 2.
Solution Part :
Given data:
- Shaquira has made 86 chocolate chip cookies and 42 sugar cookies.
- Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
To find:
The greatest number of identical packages that Shaquira can make
Step-by-step explanation:
In order to find the greatest number of packages, we find the HCF of 86 and 42.
Write down this part from the attached image.
Here, 86 = 1 × 2 × 43, 42 = 1 × 2 × 21
Thus HCF = 1 × 2 = 2
So, Shaquira can make 2 identical packages the most.
Each package will have
- (86 ÷ 2) = 43 chocolate chips and
- (42 ÷ 2) = 21 sugar cookies.
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