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

1/6

Explanation:

Let

c-----> the number of cola bottles that Dan picks

s ----> the number of smarties that Dan picks

m ---> the number of marshmallows that Dan picks

we know that

c=3s ----> equation A

m=2s ---> equation B

we know that

To find out the proportion of the bag of sweets that are smarties, divide the number of smarties by the total of sweets

The total of sweets is equal to

(c+s+m)

substitute equation A and equation B in the total of sweets

(3s+s+2s) =6s

Find the proportion

s/6s

Simplify

1/6