Gabriel is making a mixture of compost and soil to use for a special plant. He wants his final mix to be 2 parts compost to 10 parts potting soil. He wants to end up with 6 kilograms of mix .
To find the amount of compost and potting soil needed, we can follow these steps:
Step 1: Determine the total number of parts in the final mix.
Since Gabriel wants the final mix to be 2 parts compost to 10 parts potting soil, the total number of parts is 2 + 10 = 12.
Step 2: Determine the weight of one part of the mixture.
If Gabriel wants a total of 6 kilograms of the mix, we divide the total weight by the number of parts: 6 kg ÷ 12 = 0.5 kg.
Step 3: Calculate the weight of compost needed.
Since Gabriel wants the ratio to be 2 parts compost to 10 parts potting soil, we multiply the weight of one part by the number of compost parts: 0.5 kg × 2 = 1 kg.
Step 4: Calculate the weight of potting soil needed.
Similarly, multiply the weight of one part by the number of potting soil parts: 0.5 kg × 10 = 5 kg.
Therefore, Gabriel needs 1 kilogram of compost and 5 kilograms of potting soil to make a final mixture of 6 kilograms.
Compost = X kg.
Potting = 5x kg.
x + 5x = 6
X = 1 kg.
sx = 5 kg.