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:

Choose 1 answer:

(Choice A)

\[f+g=17\]

A

\[f+g=17\]

(Choice B)

\[f-g=17\]

B

\[f-g=17\]

(Choice C)

\[fg=17\]

C

\[fg=17\]

(Choice D)

\[\dfrac{f}{g}=17\]

D

\[\dfrac{f}{g}=17\]

The problem states that Gabby sold 17 fewer raffle tickets than Finn. This can be expressed mathematically as:

\[
g = f - 17
\]

Rearranging this equation to express the relationship between \( f \) and \( g \), we get:

\[
f - g = 17
\]

So, the correct choice is:

**Choice B:** \[ f - g = 17 \]

Would you like any more details on this explanation or have any other questions? 

Here are 5 related questions you might find interesting:
1. If Finn sold 35 tickets, how many did Gabby sell?
2. If Gabby sold 10 tickets, how many did Finn sell?
3. What equation would represent the situation if Gabby sold 17 more tickets than Finn?
4. How would you express the number of tickets Finn sold if Gabby sold \( g \) tickets?
5. If together they sold 100 tickets, how many did Finn sell if Gabby sold 17 fewer?

**Tip:** When setting up equations from word problems, carefully identify the relationship between the quantities involved.

Explore how to determine the number of raffle tickets sold by Finn and Gabby with a step-by-step explanation. This problem involves understanding algebraic equations and solving for unknown quantities based on given relationships. Suitable for students in Grades 7-9.

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