Question

Luther High School's basketball coach won a record 33 out of 42 games how many games must the team win in the next 28 games for the coach to maintain to the ratio of wins to losses?

Answer 1

Using proportions, they must win 22 games to maintain to the ratio of wins to losses.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the next 28 games, we have that:

• The team will have won 33 + x games.

• The team will have played 42 + 28 = 70 games.

To keep the same proportion, we have that:

$\frac{33}{42} = \frac{33 + x}{70}$

Applying cross multiplication:

42(33 + x) = 33 x 70

Simplifying by 14:

3(33 + x) = 33 x 5

3x = 33 x 5 - 33 x 3

3x = 33 x 2

3x = 66

x = 66/3

x = 22.

They must win 22 games to maintain to the ratio of wins to losses.

More can be learned about proportions at https://brainly.com/question/24372153

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