https://file.aiquickdraw.com/mathbot/file/1726152038038pf7uwdnx.jpg

The text in the image presents a math problem in Swedish. Here's a translation of the problem:

"A swimming club has twice as many female members as male members. A quarter of the women and half of the men compete in breaststroke. What proportion of the members are breaststroke swimmers?"

Let’s break down and solve the problem step-by-step.

### Step 1: Define variables
Let:
- \( x \) represent the number of male members.
- The number of female members is then \( 2x \) (since there are twice as many female members as male members).

### Step 2: Breaststroke swimmers
- A quarter of the female members compete in breaststroke: \( \frac{1}{4} \times 2x = \frac{x}{2} \).
- Half of the male members compete in breaststroke: \( \frac{1}{2} \times x = \frac{x}{2} \).

### Step 3: Total members and breaststroke swimmers
- Total members = \( x + 2x = 3x \).
- Total breaststroke swimmers = \( \frac{x}{2} + \frac{x}{2} = x \).

### Step 4: Proportion of breaststroke swimmers
The proportion of members that swim breaststroke is:

\[
\frac{\text{Total breaststroke swimmers}}{\text{Total members}} = \frac{x}{3x} = \frac{1}{3}
\]

Thus, one-third of the members swim breaststroke.

Let me know if you'd like further details or have any questions.

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Here are 5 related questions you can explore:
1. How would the result change if the number of male members was tripled instead of doubled for females?
2. What if half of the female members and a quarter of the male members competed in breaststroke?
3. How does the proportion change if the number of female breaststroke swimmers increases?
4. What if only 10% of the female members swam breaststroke—how would that affect the proportion?
5. How would the total number of breaststroke swimmers be affected if all male members participated?

**Tip:** Always break down word problems step-by-step and define variables to simplify complex situations.

En simklubb har dubbelt så många kvinnliga medlemmar som manliga. En fjärdedel av kvinnorna och hälften av männen tävlar i bröstsim. Hur stor andel av medlemmarna är bröstsimmare?

Solve a word problem about a swim club with twice as many female members as male members, where a quarter of the women and half of the men swim breaststroke. Learn how to calculate the proportion of members that swim breaststroke. Suitable for Grades 7-9.

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