Question

In a game, players have 60 seconds to toss rings into boxes.

Rings that land in green boxes, g, earn 5 points
Rings that land in blue boxes, b, earn 10 points
Players must earn at least 50 points to win
Which inequality models the combination of tosses needed to win?

Answer 1

Answer: g*5 + b*10 ≥ 50.

Explanation:

Let's define g = number of rings that land in green boxes.

and b = number of rings that land in blue boxes.

For each ring in the green box you earn 5 points, then if there are g rings in the green box, you have g*5 points.

And for the blue is similar, if there are b rings in the blue box, you will have b*10 points.

Then the total number of points that you will get is:

T = g*5 + b*10.

And the minimum that you need to win is 50 points, the inequality will be:

T ≥ 50

or

g*5 + b*10 ≥ 50.