Question

henry gets pic n mic when at the cinema and makes his bag up with 3 types of sweets. he picks 3 times as many smarties than coca-cola bottles. he also picks twice as many marshmallows as smarties. What proportion of the bag of sweets are marshmallows?

Answer 1

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henry gets pic n mic when at the cinema and makes his bag up with 3 types of sweets. he picks 3 times as many smarties than coca-cola bottles. he also picks twice as many marshmallows as smarties. What proportion of the bag of sweets are marshmallows?

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Let, the coca bottles be x

quantity of smarties = 3 times coca bottles

= 3x

quantity of coca bottles = x

quantity of marshmallows = twice smarties

= 2 × 3x

= 6x

proportion of marshmallows =

= $\frac{ Quantity\: of \: marshmallows}{quantity \:of \:sweet\: in \:bag}$

= $\frac{ 6x}{x + 3x + 6x}$

= $\frac{ 6x}{10x}$

= $\frac{ 6}{10}$

= $\frac{ 3}{5}$

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