In the village school the ratio to boys to girls is 5:6. there are 175 boys. how many girls.
please show me full working out but don't give me the answer as I want to find it out for myself. I just need to know how to do it.
Thank you
5/6 = 175/g
5 g = 6 * 175
g = 6 * 175 / 5
Thank You ;)
You are welcome.
To find out how many girls there are in the village school, we can use the given information and set up a proportion using ratios.
Step 1: Identify the given information
- We know that the ratio of boys to girls is 5:6.
- We are also given that there are 175 boys.
Step 2: Set up the proportion
- Let's use the variable "x" to represent the number of girls. Since the ratio of boys to girls is 5:6, we can set up the following proportion:
- Boys : Girls = 5 : 6
- 175 : x
Step 3: Solve the proportion
- Cross-multiply the terms of the proportion. This means multiplying the numerator of the first ratio by the denominator of the second ratio and vice versa. This will result in the equation:
- 5x = 175 * 6
Step 4: Solve for x
- To solve for x, divide both sides of the equation by 5:
- x = (175 * 6) / 5
Step 5: Calculate the value of x
- Use a calculator to evaluate the expression on the right side of the equation:
- x = 1050 / 5
By following these steps, you should be able to find the number of girls in the village school.