2026-09-10T00:15:03.429692 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL Work through all three parts of this question abo...
Question 1 Report
Work through all three parts of this question about a recipe. A recipe for \(12\) biscuits uses \(300\) g of flour and \(180\) g of butter.
(a) Calculate the mass of flour needed for \(20\) biscuits. [2]
(b) Write the ratio of flour to butter in its simplest form. [2]
(c) State the mass of butter needed for \(4\) biscuits. [1]
Answer Details
(a) Find the flour for one biscuit, then scale up to 20 biscuits:
\[300\text{ g}\div12=25\text{ g}\]
\[25\text{ g}\times20=500\text{ g}\]
The required flour mass is \(500\text{ g}\). [M1 A1]
(b) Start with the quantities in the recipe, \(300:180\), and divide both terms by their highest common factor, 60:
\[300:180=5:3\]
The simplest ratio of flour to butter is \(5:3\). [M1 A1]
(c) Butter per biscuit is \(180\div12=15\) g. For 4 biscuits:
\[15\times4=60\text{ g}\]
The required butter mass is \(60\text{ g}\). [B1]
In a recipe, every ingredient must be scaled by the same factor, so the flour-to-butter ratio remains unchanged.
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