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Algebra, STD1 EQ-Bank 6 MC

An AFL football team scored 15 times in a game, made up of goals and behinds.

Goals are worth 6 points and behinds are worth 1 point. The team's total score was 45 points.

Let  \(g\) = number of goals and  \(b\) = number of behinds.

Which pair of equations correctly represents this situation?

  1. \(g+b=45\)  and  \(6g+b=15\)
  2. \(6g+b=15\)  and  \(g+b=45\)
  3. \(g+b=15\)  and  \(6g+b=45\)
  4. \(g+b=15\)  and  \(g+6b=45\)
Show Answers Only

\(C\)

Show Worked Solution

\(g+b=15-\text{Eliminate A and B}\)

\(\text{Total points from goals} = 6g\)

\(\text{Total points from behinds} = b\)

\(\text{Total points} = 6g+b\ \ \Rightarrow\ \ 6g+b=45\)

\(\Rightarrow C\)

Filed Under: Simultaneous Linear Equations Tagged With: Band 5, smc-6839-20-Other SE Applications

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