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Finn and Gabby are selling raffle tickets for a school fundraiser. If Gabby sold 17 fewer raffle tickets than Finn did, which of the following represents the relationship between f, the number of tickets Finn sold and g, the number of tickets Gabby sold? Choose 1 answer: (A) f+g=17 (B) f-g=17 (C) fg=17 (D) (f)/(g)=17

Finn and Gabby are selling raffle tickets for a school fundraiser. If Gabby sold 1717 fewer raffle tickets than Finn did, which of the following represents the relationship between f f , the number of tickets Finn sold and g g , the number of tickets Gabby sold?\newlineChoose 11 answer:\newline(A) f+g=17 f+g=17 \newline(B) f−g=17 f-g=17 \newline(C) fg=17 f g=17 \newline(D) fg=17 \frac{f}{g}=17

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Full solution

Q. Finn and Gabby are selling raffle tickets for a school fundraiser. If Gabby sold 1717 fewer raffle tickets than Finn did, which of the following represents the relationship between f f , the number of tickets Finn sold and g g , the number of tickets Gabby sold?\newlineChoose 11 answer:\newline(A) f+g=17 f+g=17 \newline(B) f−g=17 f-g=17 \newline(C) fg=17 f g=17 \newline(D) fg=17 \frac{f}{g}=17
  1. Define Variables: Let's define the variables according to the information given:\newlinef=f = the number of tickets Finn sold\newlineg=g = the number of tickets Gabby sold\newlineWe are told that Gabby sold 1717 fewer raffle tickets than Finn did. This can be translated into the equation g=f−17g = f - 17.
  2. Check Given Options: Now let's check each of the given options to see which one correctly represents the relationship g=f−17g = f - 17.
    (A) f+g=17f + g = 17 does not match our equation because it suggests that the sum of the tickets sold by Finn and Gabby is 1717, which is not what the problem states.
  3. Evaluate Option (A): (B) f−g=17f - g = 17 is the rearranged form of the equation g=f−17g = f - 17. If we add gg to both sides of the equation f−g=17f - g = 17, we get f=g+17f = g + 17, which is equivalent to g=f−17g = f - 17 when solved for gg.
  4. Evaluate Option (B): (C) fg=17fg = 17 suggests that the product of the number of tickets sold by Finn and Gabby is 1717, which is not related to the information given in the problem.
  5. Evaluate Option (C): (D) fg=17\frac{f}{g} = 17 suggests that the ratio of the number of tickets sold by Finn to the number of tickets sold by Gabby is 1717, which is also not related to the information given in the problem.
  6. Evaluate Option (D): Based on the steps above, the correct representation of the relationship between the number of tickets Finn sold and the number of tickets Gabby sold is given by option (B) f−g=17f - g = 17.

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