Jason has 14 raspberry scones and 35 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of raspberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason can fill? Explain how you know.
Accepted Solution
A:
Answer:7 is the greatest number of bags Jason can fill.Step-by-step explanation:Given: Jason has 14 raspberry scones and 35 blackberry scones.Now, finding the maximum number of bags Jason can fill with equal number of raspberry scones and blackberry scones.∴ we will be using Greatest common factor (GCF) for knowing the number of bags.[tex]14 = 2\times 7\\\\35= 5\times 7[/tex]∴ [tex]GCF= 7[/tex]7 is the greatest number of bags that Jason can fill with equal number of raspberry and blackberry scones.