Question

Dan 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 marshmallows as smarties. What proportion of the bag of sweets are smarties?
Give your answer in its simplest form.

Answer 1

Answer:

Answer: \frac{1}{10}\text{ part of total sweets}

10

1

part of total sweets

Step-by-step explanation:

Let the number of smarties is x,

⇒ The number of cola bottles = 3 × number of smarties = 3 x

⇒ The number of marshmallows = 2 × number of cola bottles = 6 x

Thus, the total number of sweets in the bag = x + 3x + 6x = 10 x

⇒ \text{The proportion of smarties in the bag} = \frac{x}{10x}= \frac{1}{10}The proportion of smarties in the bag=

10x

x

=

10

1

Answer 2

Answer:1/10 are smarties

Step-by-step explanation:

Let the number of smarties is x,

⇒ The number of cola bottles = 3 × number of smarties = 3 x

⇒ The number of marshmallows = 2 × number of cola bottles = 6 x

Thus, the total number of sweets in the bag = x + 3x + 6x = 10 x