Question

in a flower garden,1/8 of the flowers are jasmine,3/5 of the flowers are roses,1/4 of the flowers are sunflowers and remaining 8 are lilies.find the number of flowers.​

Answer 1

Answer:

320

Step-by-step explanation:

Let there are x flowers. 1/8 of x are Jasmine, 3/5 of x are Roses, 1/4 of x are Sunflowers and 8 are Lilies.

Total number of flowers = x

Jasmine + Roses + Sunflowers + Lilies = x

(1/8 * x ) + (3/5 * x) + (1/4 * x) + 8 = x

x/8 + 3x/5 + x/4 + 8 = x

x/8 + 3x/5 + x/4 - x = -8

(5x + 24x + 10x - 40x)/40 = - 8

-x/40 = - 8

x/40 = 8

x = 8*40

x = 320

Total number of flowers is 320

Answer 2

Given :-

In a flower garden,1/8 of the flowers are jasmine,3/5 of the flowers are roses,1/4 of the flowers are sunflowers and remaining 8 are lilies

To Find :-

Numbers of flower

Solution :-

Let the total flower be f

$\sf \dfrac{1}{8}\times f + \dfrac{3}{5} \times f + \dfrac{1}{4}\times f + 8 = f$

$\sf\dfrac{f}{8} + \dfrac{3f}{5} + \dfrac{f}{4}- f = 0 - 8$

$\sf \dfrac{5f + 24f + 10f - 40f}{40}=-8$

$\sf\dfrac{39f-40f}{40}=-8$

$\sf\dfrac{-f}{40}=-8$

$\sf -f = 40\times-8$

$\sf -f = -320$

$\sf f = 320$