Question

Q11 Ratio and Proportion

Answer 1

Answer:

Proportion of the flowers that are red tulips = $\frac{2.57}{11}$

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 = $\frac{6}{11}.11x$ = 6x

   Total number of roses in a shop = $\frac{5}{11}.11x$ = 5x

Now,

As given, number of red tulips : number of yellow tulips = 3:4

⇒Total number of red tulips = $\frac{3}{7}.6x$ = 2.57x

   Total number of yellow tulips = $\frac{4}{7}.6x$ = 3.43x

∴ we get

Proportion of the flowers that are red tulips = $\frac{2.57x}{11x}$ = $\frac{2.57}{11}$