The problem in the image states:

The ratio of boys to girls in a group is 5:3. There are 80 more boys than girls. Work out how many girls there are.

Let's solve this step by step.

Step 1: Set up variables

• Let the number of boys be $5x$ and the number of girls be $3x$, since the ratio is 5:3.

Step 2: Set up the equation

• We know that there are 80 more boys than girls. So, we can express this as: $5x - 3x = 80$

Step 3: Solve for $x$

$2x = 80$ $x = \frac{80}{2} = 40$

Step 4: Find the number of girls

• The number of girls is $3x$, so: $3x = 3 \times 40 = 120$

Final Answer:

There are 120 girls.

Would you like more details on any of the steps? Here are five related questions for practice:

1. If the total number of boys and girls combined is needed, how can you find it?
2. What if the ratio was 7:4 instead of 5:3, how would the solution change?
3. How would the problem be solved if the difference was given in percentage instead of an absolute number?
4. Can you write an equation to express the total number of boys and girls using $x$?
5. How would you solve this if the number of boys was directly given instead of the ratio?

Tip: When solving ratio problems, expressing quantities in terms of a single variable helps simplify the setup.