Final Answer:
Bryson can fill a maximum of 7 bags with the blackberry and raspberry scones. Therefore,the correct Option is Option c) 7
Step-by-step explanation:
To determine the greatest number of bags Bryson can fill, we need to find the greatest common factor (GCF) of the quantities involved. In this case, we are looking for the highest number that evenly divides both blackberry and raspberry scones.
The prime factorization of the options is as follows:
a) 3 = 3
b) 4 = 2²
c) 7 = 7
d) 14 = 2 * 7
To find the GCF, we identify the common prime factors with the lowest powers. In this case, the only common prime factor is 7. Therefore, the GCF is 7.
Hence, Bryson can fill a maximum of 7 bags with blackberry and raspberry scones, making option c) the correct answer.
Therefore,the correct Option is Option c) 7