Question

Out of a swarm of bees, one fifth settled on a blossom of Rose, and one third on a flower of Sun flower, and three times the difference of those numbers flew to the bloom of a marigold. One bee, which remained hovered and flew about in the air, allured at the same moment by the pleasing fragrance of a jasmine and pandanus. What are the number of bees?

Give one useful product made from each of the three flowers for our daily needs.

Answer 1

Let the swarm of bees be x

Bees on the blossom of rose = 1/5 * x

Bees on the Sunflower           = 1/3 * x

Bees that flew to Marigold     = 3 * (1/3 – 1/5)

3 * (5 – 3 ) /15 = 3 * 2/15 = 2/5

Hovering bee                             = 1

1/5x + 1/3x + 2/5 + 1 = x

(3x + 5x + 6x + 15) / 15 = x

(14x + 15) / 15 = x

14x + 15 = 15x

15x – 14x = 15

X = 15

The number of bees is 15.

b) Roses are used for making perfume. Sunflower seeds are used to extract oil that is used for cooking. Marigold oil is extracted from marigold flower, has healing properties and is thus used in making ointments, creams and salves.

Answer 2

S O L U T I O N

G I V E N

B E L O W:

Let the swarm of bees be =
$x$
No. Of bees on rose blossom=
$\frac{1}{5} \times x$
No. Of bees on sunflower=
$\frac{1}{3} \times x$
No. Of bees on marigold=
$3 \times ( \frac{1}{3} - \frac{1}{5})$
$= 3 \times( \frac{5 - 3}{15} )$
$= 3 \times \frac{2}{15}$
$= \frac{2}{5}$
No.Of bees hovering=

$= 1$
ATQ:

$\frac{1}{5}x + \frac{1}{3}x + \frac{2}{5} + 1 = x$
$\frac{3x + 5x + 6x + 15}{15} = x$
$\frac{14x + 15x}{15} = x$
$14x + 15 = 15x$
$15x - 14x = 15$
$x = 15$

Thus,the number of bees is equal to 15.

Second question:

S O L U T I O N

G I V E N

B E L O W:

Rose's petals are used for flavoring food.

Sunflower is used to for extraction and making of oil.

Marigold is used for making ointments used for healing purposes.