Given :
- Number of bags with raspberry scones and blueberry scones should be equal
- The greatest number of bags need to be made where each of them has equal numbers of each scone.
Number of raspberry scones with Bryson = 51
Number of blueberry scones with Bryson = 34
To find the greatest number of bags Bryson can fill with equal number of raspberry and blueberry cones each, we need to find the GCF of the number of blueberry scones and raspberry scones.
Factors of 34 = 1, 2, <u>17</u>, 34
Factors of 51 = 1, 3, <u>17</u>, 51
Greatest common factor (GCF) of 34 and 51 = 17
Therefore, the greatest number of bags Bryson can fill with equal number of blueberry scones and raspberry scones = <u>17 bags</u>