The ratio of the number of roses to the number of lilies in a flower shop is 3:5. One sixth of the roses and half of the lilies are white. If there are a total of 24 white flowers, how many lilies are in the flower shop?

Respuesta :

Answer:

There are 240 lilies in the flower shop.

Step-by-step explanation:

The ratio of number of roses to number of lilies = 3:5

Let the number of roses be represented by x, and the number of lilies be represented by y.

Given that: [tex]\frac{1}{6}[/tex] of x and [tex]\frac{1}{2}[/tex] of y are white.

Thus;

[tex]\frac{1}{6}[/tex] of x = 24

[tex]\frac{x}{6}[/tex] = 24

x = 6 x 24

  = 144

There are 144 roses in the shop.

The ratio of number of roses to number of lilies = 3:5

So that, [tex]\frac{144}{3}[/tex] = 48

y = 48 x 5 = 240

The number of lilies in the shop = 240

The ratio of number of roses to number of lilies = 144:240

                                                                                  = 3:5

Answer:

there are 240 lilies in the flower shop

Step-by-step explanation: