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28 February, 02:58

Erin and Jamie are collecting shells while the tide is out. Erin has 27 shells, and she has 9 more than Jamie. Write and equation for this situation and find how many shells Jamie has collected.

A. 27 = j + 9; Jamie collected 18 shells

B. 27 = j - 9; Jamie collected 36 shells

C. 27 + 9 = j; Jamie collected 36 shells

D. 27 = j + 9; Jamie collected 36 shells

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Answers (2)
  1. 28 February, 03:08
    0
    A.

    Erin's total minus 9 gives us Jamie's total. This means Erin's total equals Jamie's total plus 9. This leads us to the conclusion that 27 (E's total) = j + 9 (the difference). We also know from the first phrase that E - 9 = j, meaning 27 - 9 = j, so j = 18.
  2. 28 February, 03:14
    0
    The correct answer is A.

    Step-by-step explanation:

    The main idea in this kind of exercises is to ''translate'' from natural language to mathematical language.

    We know that Erin has 27 shells. If we use the variable E for the number of shells that Erin has, we ''translate'' the previous fact as E=27.

    The next data is that Erin has 9 shells more than Jamie. Let us write J for the number of shells that Jamie has. The fact that Erin has 9 shells more than her partner means that Jamie would need 9 shells more to has the same amount of shells. Mathematically this means that J+9=E.

    Then, substituting the value of E we get J+9=27. The last step is to obtain the value of J: J=27-9.
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