Question

Gabriel Is making a mixture of compost and soil to use for a special plant. He wants his Final mix to be two parts compost to 10 parts potting soil. he wants to end up with 6 kg of mix. How many kg of compost should Gabrial use?

Answer 1

well, so we know the ratio of compost to soil is 2 : 10, or namely 2/10 which simplifies to 1/5 or namely the ratio of 1 : 5.

the mix will be 6 kgs total, so we'll simply divide the whole amount by (1 + 5), the sum of the ratios, and then distribute accordingly.

`\bf 2:10\implies 1:5\qquad \qquad \cfrac{compost}{soil}\qquad \cfrac{1\cdot ~~(6)/(1+5)~~}{5\cdot (6)/(1+5)}\implies \cfrac{1\cdot 1}{5\cdot 1}\implies \cfrac{\stackrel{compost}{\boxed{1~kg}}}{5~kg}`

Answer 2

Gabriel Is making a mixture of compost and soil to use for a special plant. He wants his Final mix to be two parts compost to 10 parts potting soil. he wants to end up with 6 kg of mix. How many kg of compost should Gabriel use?

Explanation:

We have a total of 12 parts, where 2 are compost, and on the other hand 6 kg which is the total of the whole mixture, divided by 12; 6/12 = 0.5 would be each of the parts, we multiply it by 2; 0.5 x 2 = 1 kg would be the part of compost, and 0.5 x 10 = 5 kg would be the part of potting soil which added, gives us the total 6 kg.