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The ratio of water to the amount of milk needed is 75 : 200 - OCR - GCSE Maths - Question 10 - 2021 - Paper 1
Question 10
The ratio of water to the amount of milk needed is 75 : 200. Write this ratio in its simplest form. (b) Ben makes 18 pancakes. Work out how much flour he needs.
Worked Solution & Example Answer:The ratio of water to the amount of milk needed is 75 : 200 - OCR - GCSE Maths - Question 10 - 2021 - Paper 1
Step 1
Write this ratio in its simplest form.
Answer
To simplify the ratio 75 : 200, we first find the greatest common divisor (GCD) of both numbers.
-
Find the GCD of 75 and 200.
- The GCD is 25.
-
Divide each part of the ratio by the GCD:
- For water:
- For milk:
Thus, the simplified ratio of water to milk is 3 : 8.
Step 2
Work out how much flour he needs.
Answer
To determine how much flour is needed for 18 pancakes, we refer to the standard recipe ratio. If we assume the recipe requires a specific amount of flour per pancake (for example, 100g of flour per pancake), we would calculate:
- Multiply the flour needed for one pancake by the total number of pancakes:
- Total flour = 100 g * 18 = 1800 g.
Therefore, Ben needs 1800 grams of flour to make 18 pancakes.