Question

Henry gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many smarties as cola bottles. He also picks twice as many marshmallows as smarties. What proportion of the bag of sweets are marshmallows?
Give your answer in its simplest form.

Answer 1

Answer:

The required fraction is $\frac{3}{5}$.

Step-by-step explanation:

Let the number of cola bottles be x.

It is given that Henry picks 3 times as many smarties as cola bottles.

$smarties=3x$

The number of smarties is 3x.

It is also given that he picks twice as many marshmallows as smarties.

$marshmallows=2\times smarties$

$marshmallows=2\times 3x$

$marshmallows=6x$

The number of marshmallows is 6x.

The ratio of cola bottles,smarties and marshmallows is 1:3:6.

The sum of ratio is

$1+3+6=10$

The proportion of the bag of sweets are marshmallows, is

$\frac{6}{10}=\frac{3}{5}$

The required fraction is $\frac{3}{5}$.