A cereal mixture contains almond, wheat and corn in the ratio of 3:5:7. What amount of this mixture contains 9 kg of almond?

Respuesta :

Answer:

The quantity of mixture is 45 kg .

Step-by-step explanation:

Given as :

The ratio of almond , wheat , corn in mixture = 3 : 5 : 7

The quantity of almond in mixture = 9 kg

Let The quantity of mixture = x kg

According to question

The quantity of almond in mixture = [tex]\dfrac{quantity of almond}{quantity of almond + quantity of wheat+ quantity of corn}[/tex] × quantity of mixture

Or, 9 kg = [tex]\dfrac{3}{3 + 5 + 7}[/tex] × x

Or, 9 =  [tex]\dfrac{3}{15}[/tex] × x

Or, 9 =  [tex]\dfrac{1}{5}[/tex] × x

∴  x = 9 × 5

i.e x = 45

So, The quantity of mixture = x = 45 kg

Hence, The quantity of mixture is 45 kg . Answer