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 smar
ties. 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.
1 answer:
Answer:
1/6
Step-by-step 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
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