In a AFL match, the Brisbane Lion's kicked a total of 80 points. However they kicked more goals than behinds. What was the Brisbane Lion's score? (1 goal=6 points, 1 behind=1 point)

(Can this guestion be solved with simultaneous eqautions?, if so how?) <----Me

Derrickid May 25, 2015

#1**+10 **

There isn't a unique answer to this!

First, find how many times 6 (almost) goes into 80: floor(80/6) = 13, and 13*6 = 78, so one solution is 13 goals and 2 behinds (13*6 + 2*1 = 80).

However, 12 goals gives 72 points so 12 goals and 8 behinds also gives 80 points.

11 goals gives 66 points so there would be more than 11 behinds needed to make 80 points in total, so this doesn't comply with more goals than behinds.

So the possible solutions are 13 goals and 2 behinds or 12 goals and 8 behinds.

.

Alan May 25, 2015

#1**+10 **

Best Answer

There isn't a unique answer to this!

First, find how many times 6 (almost) goes into 80: floor(80/6) = 13, and 13*6 = 78, so one solution is 13 goals and 2 behinds (13*6 + 2*1 = 80).

However, 12 goals gives 72 points so 12 goals and 8 behinds also gives 80 points.

11 goals gives 66 points so there would be more than 11 behinds needed to make 80 points in total, so this doesn't comply with more goals than behinds.

So the possible solutions are 13 goals and 2 behinds or 12 goals and 8 behinds.

.

Alan May 25, 2015