Answer:
Proportion of the flowers that are red tulips = [tex]\frac{2.57}{11}[/tex]
Step-by-step explanation:
Given - There are some flowers in a shop. Each flower is either red or
yellow. Each flower is either a tulip or a rose. For these flowers
number of tulips : number of roses = 6:5 and number of red tulips :
number of yellow tulips = 3:4
To find - Work out the proportion of the flowers that are red tulips.
Proof -
Let Total number of flowers in a shop = 11x
As given, number of tulips : number of roses = 6:5
⇒Total number of tulips in a shop = [tex]\frac{6}{11}.11x[/tex] = 6x
Total number of roses in a shop = [tex]\frac{5}{11}.11x[/tex] = 5x
Now,
As given, number of red tulips : number of yellow tulips = 3:4
⇒Total number of red tulips = [tex]\frac{3}{7}.6x[/tex] = 2.57x
Total number of yellow tulips = [tex]\frac{4}{7}.6x[/tex] = 3.43x
∴ we get
Proportion of the flowers that are red tulips = [tex]\frac{2.57x}{11x}[/tex] = [tex]\frac{2.57}{11}[/tex]
