Question

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

Answer 1

Answer:

$\frac{2}{3}$

Explanation:

Assume that the number of smarties he picked is c

Now, we are given that:

1- He picked 3 times as many cola bottles as smarties. This means that:

Number of cola bottles he picked = 3s

2- He picked twice as many smarties as marshmallows. This means that:

number of marshmallows he picked = 0.5s

Now to get the proportion o f cola bottles, we will divide the number of cola bottles by the total number of sweets as follows:

proportion of cola bottles = $\frac{3s}{s+3s+0.5s} = \frac{4}{7}$

Hope this helps :)

Answer 2

Concept

Proportion is a form where we relate, two numbers in ratio to determine its part in full.

Given

We are given that Colin makes his bag with 3 types of sweets. The three sweets are cola bottles, smarties, and marshmallows. We are told that the number of cola bottles is three times the number of smarties, and the number of smarties is two times the number of marshmallows.

Find

We are asked to find the proportion of the cola bottles to the total sweets in the bag.

Solution

We will take the number of marshmallows as x.

∴ The number of smarties = 2 times the number of marshmallows = 2x

∴ The number of cola bottles = 3 times the number of smarties = 3*2x = 6x.

Total number of sweets in the bag = x + 2x + 6x = 9x

∴ The proportion of cola bottles to the total sweets in the bag = 6x/9x = 2/3.

Hence, the proportion of cola bottles to the total sweets in the bag is 2/3.

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