3+2+1 = 6
so, 1/6
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.
3 answers
1
To solve this problem, let's use variables:
- Let's call the number of smarties Dan picks "S".
- Dan picks 3 times as many cola bottles as smarties, so he picks 3S cola bottles.
- Dan picks twice as many marshmallows as smarties, so he picks 2S marshmallows.
The total number of sweets in Dan's bag is S + 3S + 2S = 6S.
The proportion of the bag that is smarties is S/6S, which simplifies to 1/6.
Therefore, the answer is:
Dan's bag of sweets includes smarties in a proportion of 1/6.
- Let's call the number of smarties Dan picks "S".
- Dan picks 3 times as many cola bottles as smarties, so he picks 3S cola bottles.
- Dan picks twice as many marshmallows as smarties, so he picks 2S marshmallows.
The total number of sweets in Dan's bag is S + 3S + 2S = 6S.
The proportion of the bag that is smarties is S/6S, which simplifies to 1/6.
Therefore, the answer is:
Dan's bag of sweets includes smarties in a proportion of 1/6.
1 answer