CM Thal,
2a) Stephanie sells bags of different kinds of cookies. She made $27 selling bags of
Oreos, $18 selling chocolate chip cookies, and $45 selling Chunky sugar cookies. Each bag of
cookies costs the same amount. What is the most that Stephanie could charge for each bag
of cookies?
Answers
Given:
Stephanie sells bags of different kinds of cookies.
She made $27 selling bags of Oreos, $18 selling chocolate chip cookies and $45 selling Chunky sugar cookies.
Each bag of cookies cost the same amount.
To find:
The maximum amount that Stephanie could charge for each bag of cookies
Solution:
Here to solve the above-given problem, we have to find the Highest Common Factor of the given amounts i.e., $27, $18 & $ 45 that she made by selling bags of oreo, chocolate chip and chunky sugar respectively.
We will now find the H.C.F of 27, 18 & 45 by prime factorisation method:
Factors:
27 = 3 × 3 × 3
18 = 2 × 3 × 3
45 = 3 × 3 × 5
H.C.F.:
∴ H.C.F. (27, 18 & 45) = 3 × 3 = 9
Thus, the most that Stephanie could charge for each bag of cookies is $9.
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