Question

6

A bag of sweets contains jellies, mints and toffees.
The ratio of jellies to mints is n : 2.
The ratio of mints to toffees is 5 : 3n.
Work out the ratio of jellies to toffees.
Give your answer in its simplest form.

Answer 1

jellies : toffees = 5 : 6

Explanation:

expressing the ratios in fractional form

`(jellies)/(toffees)` =
`(jellies)/(mints)` ×
`(mints)/(toffees)`

=
`(n)/(2)` ×
`(5)/(3n)`

=
`(5n)/(6n)` ( cancel n on numerator/ denominator )

=
`(5)/(6)`

then jellies : toffees = 5 : 6