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using the symbols in the parenthesis and the number of each color from …

Question

using the symbols in the parenthesis and the number of each color from your teacher’s smarties, which of the following would be the chemical formula for the packet?
green (g) 1
orange (o) 4
pink (p) 1
yellow (y) 2
purple (pu) 6
white (wh) 1
\\( g_7o_2py_7pu_2wh \\)
\\( go_4py_2pu_6wh \\)
\\( g_2opy_2pu_2wh \\)
\\( g_2o_7py_5pu_3wh \\)

Explanation:

Step1: Analyze Green (G) count

Green has a count of 1, so the subscript for G should be 1 (or no subscript as 1 is implicit in chemical formulas).

Step2: Analyze Orange (O) count

Orange has a count of 4, so subscript for O is 4.

Step3: Analyze Pink (P) count

Pink has a count of 1, subscript for P is 1 (implicit).

Step4: Analyze Yellow (Y) count

Yellow has a count of 2, subscript for Y is 2.

Step5: Analyze Purple (Pu) count

Purple has a count of 6, subscript for Pu is 6.

Step6: Analyze White (Wh) count

White has a count of 1, subscript for Wh is 1 (implicit).
Now check the options:

  • First option: Subscripts don't match counts.
  • Second option: \( \text{GO}_4\text{PY}_2\text{Pu}_6\text{Wh} \) matches G(1), O(4), P(1), Y(2), Pu(6), Wh(1).
  • Third option: Subscripts don't match.
  • Fourth option: Subscripts don't match.

Answer:

B. \( \text{GO}_4\text{PY}_2\text{Pu}_6\text{Wh} \) (assuming the second option is labeled B, as per the options given with O having subscript 4, Y subscript 2, Pu subscript 6 and others with subscript 1 or implicit)