Question

Arrange 5 x's and 10 units into groups so that each group is identical to the other groups. Sketch your work. Write a variable expressing using parentheses to represent your groups.

A) (xxxxx) (xxxxx) (uuuuuuuuuu)
B) (xxxx) (xxxx) (xxxx) (uuuuuuuuuu)
C) (xxxxxx) (xxxxxx) (uuuuuuuuu)
D) (xxxx) (xxxx) (uuuuuuuuuu)

Answer 1

To create identical groups with 5 x's and 10 units, divide them into groups with one 'x' and two 'u's, resulting in the expression (xuu) repeated five times. None of the provided options A, B, C, or D are correct.

Step-by-step explanation:

The student is trying to find out how to arrange 5 x's and 10 units into identical groups. To solve this, we need to find a common divisor for both 5 and 10. The greatest common factor between them is 5, so each group will contain an equal number of 'x' and 'u' based on that divisor. The correct arrangement is one 'x' (from the 5 x's) and two 'u's (from the 10 units) making up each group, which gives us five identical groups.

These can be represented by parentheses in a variable expression showing each group as (xuu). So the answer should look like: (xuu) (xuu) (xuu) (xuu) (xuu). None of the provided options A, B, C, or D correctly represent this arrangement. So, if the student has to choose from these options, they should consult their teacher for clarification or consider the possibility of a typo in the question.