Question

The New York Nicks had a streaky season. They began by winning 4 games in a row, and then they lost 12 games in a row. After those 12 losses, they won every game, finishing with 3 wins for every 2 losses overall. How many games did they win after the first 16 games?

Answer 1

Using proportions, it is found that they won 14 games after the first 16 games.

• This question is solved by proportions, using a rule of three.
• For each 3 games they won, they lost 2.
• They lost 12 games, all on the losing streak, and won x games.

Hence, the rule of three is:

2 losses - 3 wins

12 losses - x wins

Applying cross multiplication:

$2x = 3(12)$

$x = \frac{36}{2}$

$x = 18$

18 wins, being 18 - 4 = 14 after the first 16 games, hence, they won 14 games after the first 16 games.

A similar problem is given at https://brainly.com/question/24372153