Higher Order Thinking Mrs. Drysondivided her collection of 52 glass bearsinto equal groups. She had 1 bearleft over. How many groups didMrs. Dryson make? How many bearsare in each group?
Question
Answer:
Answer:Mrs. Dryson made 3 groups with 17 glasses of bears each or she made 17 groups with 3 glasses of bears each.Step-by-step explanation:Let the number of groups is x and each group gets y number of bears.
Now, Mrs. Dryson distributed 52 glass bears equally in groups and there was 1 bear left over.
Therefore, xy = 52 - 1 = 51
Now, x and y both must be whole numbers.
Now, we have 51 = 3 Γ 17, which is the only possible factorization of 51.
So, if x = 3 then y = 17 and if x = 17, then y = 3.
Therefore, Mrs. Dryson made 3 groups with 17 glasses of bears each or she made 17 groups with 3 glasses of bears each. (Answer)
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