Question

There are some flowers in a basket. 144 of them are roses. Out of the other flowers, one-fourth are sunflowers, five-twelfths are chrysanthemums, and the rest are carnations. If one-fifth of the total number of flowers in the basket are carnations, how many flowers are there in the basket altogether?

a) 540

b) 720

c) 600

d) 660

Answer 1

To find the total number of flowers in the basket, we need to add up the number of roses and the number of other flowers. Given the proportion of sunflowers, chrysanthemums, and carnations, we can determine their respective numbers and find the total number of flowers.

Step-by-step explanation:

To find the total number of flowers in the basket, we need to add up the number of roses and the number of other flowers. Given that there are 144 roses, let's find the number of other flowers first.

Out of the other flowers, one-fourth are sunflowers, five-twelfths are chrysanthemums, and the rest are carnations. If one-fifth of the total number of flowers in the basket are carnations, we can determine the proportion of carnations to the total number of other flowers:

Carnations = (1/5) * (total other flowers)

We can then use the given proportions of sunflowers and chrysanthemums to find their respective numbers:

Sunflowers = (1/4) * (total other flowers)

Chrysanthemums = (5/12) * (total other flowers)

Adding up the roses and the other flowers will give us the total number of flowers in the basket.