Question

Select all the stories that can be represented by the diagram.

Answer 1

Answer: Choice C and Choice D

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Explanation:

• Choice A doesn't work because it the $1 should be $7 instead.
• Choice B doesn't work because it should be Elena spending $7 total on 3 notebooks and a $1 pen. The x is the amount per notebook.
• Choice C does work. If x is the number of grapes Noah gives each friend, then 3x is the total amount Noah gives over. Then 3x+1 is the number of grapes total. That +1 at the end is the grape Noah eats. We end up with 3x+1 = 7 because Noah starts off with 7 grapes.
• Choice D works also. The x is the number of hours for math, science and history each. So 3x is the combined time of those three classes. Add on 1 to get 3x+1 to represent all 7 hours, ie 3x+1 = 7.
• Choice E does not work. If it was her spending $7 on 3 markers and a $1 pen, then it would work.

Answer 2

Answer:

[] Noah shares 7 grapes with 3 friends. He eats 1 and gives each friend the same number of grapes.

[] Andre studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science, and history.

Reasoning:

[✗] The first story, with Diego, does not work because the whole is $1 in the problem and $7 in the diagram.

[✗] The second story, with Elena, does not work because the 7 is ignored entirely and the x becomes a known value, 57.

[✓] The third story, with Noah, does work because he splits seven grapes equally among three friends (the x's) and eats one.

[✓] The fourth story, with Andre, does work because 7 hours were spent studying. One on English and the rest (three subjects) split evenly (x).

[✗] The fifth story, with Lin, does not work because the total is $3 when it should be 7.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather