Question

Swati bought some rose plants and sunflower plants. There were 30 more roses plants than the sunflower plants. If the ratio of the number of rose plants to the number of sunflower plants was 6 :3,how many of each variety did she buy? ​

Answer 1

Let the number of sunflower plant be x and number of rose plants be x+30

A/q

(x+30)÷(x)=6:3

3(x+30)=6x

3x+90=6x

90=3x

x=30

Therefore number of sunflower =30

Number of rose=60

Ratio is 6:3 which is equivalent to 2:1.

Answer 2

$\bold{\huge{\fbox{\color{Black}{Given:-}}}}$

• Rose plant = 30 + Sunflower Plants

• Ratio of Number of Rose plants to Sunflower plants = 6:3

$\bold{\huge{\fbox{\color{Black}{To Find :-}}}}$

• No of Sunflower plant

• No of Rose plant

$\bold{\huge{\fbox{\color{Black}{Solution:-}}}}$

Let no of sunflower plant be x

Then,

Number of Rose plant = x + 30

Ratio Given = 6:3

Reduced form = 6/3 = 2:1

Now,

$= > \frac{x + 30}{x} = \frac{2}{1} \\ = > (x + 30) \times 1 = 2x \\ = > x + 30 = 2x \\ = > 30 = 2x - x \\ = > x = 30$

So,

Number of Sunflower Plants = 30

Number of Rose Plants = x + 30 = 30 + 30 = 60