The ratio of wins to losses for a basketball team is 2:3. Which of the following is a possible total number of games?

A. 7 games B. 14 games C. 25 games D. 26 games

Can someone show me how to solve this problem please?

For a ratio of 2:3, the total must be some multiple of 5.

2x + 3x = 5x

2x + 3x = 7, 14, 25, 26

With which one is x a whole number?

I still don't understand. Can someone please explain in better details?

25

The Amber Beach basketball team had a winning season with a ratio of 4 wins to 1 loss. Which of the following could be their record for the season?

the answer is 25...

Because the ratio is 2:3 so the sum of the two numbers can be the possible answer ..
Then the possible number of gmes will be..2+3=5,
4+6=10(multiplying the ratio by two)
6+9=15(multiplying the ratio by three)
8+12=20(multiplying the ratio by four)
10+15=25(multiplying the ratio by five

To solve this problem, we need to find a total number of games that satisfies the given ratio of wins to losses.

The given ratio is 2:3, which means for every 2 wins, there are 3 losses.

Let's assume the total number of games is 'x'.

Since the ratio is in terms of wins to losses, we can express this as:

Wins: x/5 (since 2 out of 5 games are wins)
Losses: 3x/5 (since 3 out of 5 games are losses)

Now, we need to find a value of 'x' that makes sense for the given ratio.

Let's check the options one by one:

A. 7 games:
Wins: 7/5 (not an integer)
Losses: 21/5 (not an integer)
This option is not a possible total number of games.

B. 14 games:
Wins: 14/5 (not an integer)
Losses: 42/5 (not an integer)
This option is not a possible total number of games.

C. 25 games:
Wins: 25/5 = 5
Losses: 75/5 = 15
This option satisfies the given ratio of 2:3.
So, 25 games is a possible total number of games.

D. 26 games:
Wins: 26/5 (not an integer)
Losses: 78/5 (not an integer)
This option is not a possible total number of games.

Therefore, the correct answer is C. 25 games.