Question

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?

Answer 1

there are 240 lilies in the flower shop

Explanation:

Answer 2

There are 240 lilies in the flower shop.

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:
`(1)/(6)` of x and
`(1)/(2)` of y are white.

Thus;

`(1)/(6)` of x = 24

`(x)/(6)` = 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,
`(144)/(3)` = 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