13 (a) The mass of flour used in a recipe doubles as the number of biscuits made doubles. On the axes below, sketch a graph to show this relationship. (b) Here are some of the ingredients for a recipe to make 10 biscuits. To make 10 biscuits: 120g butter 100g sugar Jane followed the recipe and used 432g of butter. All of the sugar used came from a new 2 kg bag. (i) Find the number of biscuits she made. (ii) Find the mass of the sugar, in grams, that Jane has left in the bag.

GCSE OCR Maths Straight line graphs: 13 (a) The mass of flour used in

13 (a) The mass of flour used in a recipe doubles as the number of biscuits made doubles - OCR - GCSE Maths - Question 13 - 2020 - Paper 3

Question 13

13 (a) The mass of flour used in a recipe doubles as the number of biscuits made doubles. On the axes below, sketch a graph to show this relationship. (b) Here are ... show full transcript

Worked Solution & Example Answer:13 (a) The mass of flour used in a recipe doubles as the number of biscuits made doubles - OCR - GCSE Maths - Question 13 - 2020 - Paper 3

Step 1

Find the number of biscuits she made.

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Answer

To determine the number of biscuits Jane made using 432g of butter, we first note that the original recipe states that 120g of butter is needed for 10 biscuits.

We can set up a proportion:

$rac{120g}{10 \text{ biscuits}} = \frac{432g}{x \text{ biscuits}}$

Cross-multiplying gives us:

$120g \cdot x = 432g \cdot 10$

Simplifying, we find:

$120x = 4320$

Dividing both sides by 120:

$x = \frac{4320}{120} = 36$

Thus, Jane made 36 biscuits.

Step 2

Find the mass of the sugar, in grams, that Jane has left in the bag.

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Answer

Jane initially had 2 kg of sugar, which is equivalent to 2000 grams.

According to the recipe for making 10 biscuits, Jane uses 100g of sugar. Since she made 36 biscuits, we can calculate the amount of sugar used as follows:

First, find the number of batches she made:

$\frac{36 \text{ biscuits}}{10 \text{ biscuits}} = 3.6 \text{ batches}$

Now calculate the total sugar used:

$3.6 \text{ batches} \times 100g \text{ sugar/batch} = 360g \text{ sugar}$

Next, subtract the amount of sugar used from the initial amount:

$2000g - 360g = 1640g$

Therefore, Jane has 1640 grams of sugar left in the bag.

13 (a) The mass of flour used in a recipe doubles as the number of biscuits made doubles - OCR - GCSE Maths - Question 13 - 2020 - Paper 3

Worked Solution & Example Answer:13 (a) The mass of flour used in a recipe doubles as the number of biscuits made doubles - OCR - GCSE Maths - Question 13 - 2020 - Paper 3

Find the number of biscuits she made.

Find the mass of the sugar, in grams, that Jane has left in the bag.

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