A bag of sweets contains jellies, mints and toffes - OCR - GCSE Maths - Question 23 - 2021 - Paper 3

This ratio means that for every 5 mints, there are 3n toffees.

To find the ratio of jellies to toffees, we need to express both ratios in terms of mints. Since the jellies to mints ratio is n:2, we can express mints in terms of jellies:

Mints = 2 (for n jellies).

Using the mints to toffees ratio, for 2 mints, the number of toffees would be:

Toffees = (3n/5) * 2 = (6n/5).

Now, the jellies to toffees ratio can be expressed as:

$\text{Jellies : Toffees} = n : \frac{6n}{5}$

To simplify this ratio, multiply both sides by 5:

$5n : 6n$

This simplifies to 5 : 6 since we can cancel out n.

Thus, the ratio of jellies to toffees in its simplest form is 5 : 6.