Ben and Sundip are making pancakes using the ingredients below - OCR - GCSE Maths - Question 9 - 2021 - Paper 1

To simplify the ratio 75 : 200, we need to find the greatest common divisor (GCD) of 75 and 200.

1. Finding the GCD:

   • The factors of 75 are 1, 3, 5, 15, 25, 75.
   • The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200.
   • The common factors are 1, 5, 25, so the GCD is 25.

2. Simplifying the ratio:

   • Divide both terms of the ratio by the GCD (25):

   $\frac{75}{25} : \frac{200}{25}$

   This simplifies to:

   $3 : 8$

Thus, the ratio of the amount of water to the amount of milk in its simplest form is 3 : 8.