A play has girls and boys acting in the ratio ` 5:3`
if the number of girls in the play is 35, find the number of boys.

Answer

To solve the problem step by step, we will use the given ratio of girls to boys and the number of girls to find the number of boys.

### Step 1: Understand the ratio
The ratio of girls to boys is given as 5:3. This means that for every 5 girls, there are 3 boys.

### Step 2: Set up the ratio
Let the number of girls be represented as 5 parts and the number of boys as 3 parts. We can express this relationship mathematically:
- Number of girls = 5x
- Number of boys = 3x
where x is a common multiplier.

### Step 3: Substitute the known value
We know that the number of girls is 35. Therefore, we can set up the equation:
\[ 5x = 35 \]

### Step 4: Solve for x
To find the value of x, we divide both sides of the equation by 5:
\[ x = \frac{35}{5} = 7 \]

### Step 5: Calculate the number of boys
Now that we have the value of x, we can find the number of boys using the expression for boys:
\[ \text{Number of boys} = 3x = 3 \times 7 = 21 \]

### Final Answer
The number of boys in the play is **21**.

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