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:

$\dfrac{3}{5}$

Step-by-step explanation:

Let x be the number of cola bottles.

Henry picks 3 times as many smarties as cola bottles, then he picks 3x smarties.

He also picks twice as many marshmallows as smarties. Then he picks

$2\times 3x=6x$ marshmallows.

In total, there are

$x+3x+6x=10x$ sweets in the bag.

Marshmallows are

$\dfrac{6x}{10x}=\dfrac{3}{5}$ of all sweets in the bag.