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Jason has 34 raspberry scones and 51 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.

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JeanaShupp

Answer: The greatest number of bags Jason can​ fill = 17

Step-by-step explanation:

Given: Jason has 34 raspberry scones and 51 blackberry scones.

To make identical bags of scones as possible.

Each bag should have an equal number of raspberry scones and an equal number of blackberry scones.

The greatest number of bags Jason can​ fill = Greatest common divisor of 3

and 51.

= 17     [Since 34 = 2 x 17 , 51 = 3 x 17]

Hence, the greatest number of bags Jason can​ fill = 17

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