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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.

Respuesta :

frika

Answer:

[tex]\dfrac{3}{5}[/tex]

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

[tex]2\times 3x=6x[/tex] marshmallows.

In total, there are

[tex]x+3x+6x=10x[/tex] sweets in the bag.

Marshmallows are

[tex]\dfrac{6x}{10x}=\dfrac{3}{5}[/tex] of all sweets in the bag.

oladayoademosu

Since Henry gets a bag of pic 'n mix made up of 3 types of sweets, the proportion of the bag of sweets that are marshmallows is 3/5

To answer the question, we need to know what proportion are

What is a proportion?

This is the amount of something relative to another.

Now, let

  • c represent the amount of cola bottles,
  • s represent the amount of smarties and
  • m represent the amount of marshmallows

Since Henry picks 3 times as many smarties as cola bottles, we have that s = 3c.

Also, he picks twice as many marshmallows as smarties, we have that m = 2s

So, the total number of sweets in the bag is T = m + s + c

= 2s + s + c

= 2(3c) + 3c + c

= 6c + 3c + c

= 10c

The proportion of the bag of sweets are marshmallows

Since the number of marshmallows is m = 2s

= 2(3c)

= 6c,

The proportion of marshmallows in the bag is x = number of marshmallows/total number of sweets

= 6c/10c

= 6/10

= 3/5

So, the proportion of the bag of sweets that are marshmallows is 3/5

Learn more about proportion here:

https://brainly.com/question/25640375

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