Almond oil and olive oil are mixed together in a bottle. The ratio of almond oil to olive oil is 2 to 3
To find out how much oil is in the bottle in total, we need to consider the ratio.
Let's assume that there are 2 units of almond oil in the bottle.
Since the ratio of almond oil to olive oil is 2 to 3, there would be 3 units of olive oil in the bottle.
Thus, the total ratio of oil in the bottle is 2 + 3 = 5 units.
Now, let's assign a value to each unit. For example, let's say each unit represents 100 milliliters (ml).
Given that there are 5 units in total, we multiply 5 by 100 ml to find out that there are 500 ml of oil in the bottle.
To find the amount of almond oil and olive oil in the mixture, we need to know the total amount of the mixture.
Let's say we have a total of "x" units of the mixture.
According to the given ratio, for every 2 parts of almond oil, there are 3 parts of olive oil. So, we can write the equation:
2 parts of almond oil / 3 parts of olive oil = amount of almond oil / amount of olive oil
Cross-multiplying, we get:
2 * amount of olive oil = 3 * amount of almond oil
Dividing both sides by 2, we have:
amount of olive oil = (3/2) * amount of almond oil
Now, let's substitute the total amount of the mixture, "x", as the sum of almond oil and olive oil:
x = amount of almond oil + amount of olive oil
Since we know the ratio of almond oil to olive oil is 2 to 3, we can represent the amount of almond oil as (2/5) * x and the amount of olive oil as (3/5) * x.
So, the amount of almond oil in the mixture is (2/5) * x, and the amount of olive oil is (3/5) * x.
To find the amount of almond oil and olive oil in the bottle, we need to divide the total mixture into 5 equal parts representing the ratio of 2:3.
Step 1: Add the ratios to find the total number of parts.
2 + 3 = 5
Step 2: Divide the total volume of the mixture by the total number of parts.
Let's assume the total volume of the mixture is 500 mL.
Therefore, each part will be 500 mL / 5 = 100 mL.
Step 3: Multiply the parts by the respective ratios to find the quantity of each oil.
Almond oil: 2 parts x 100 mL/part = 200 mL
Olive oil: 3 parts x 100 mL/part = 300 mL
So, there are 200 mL of almond oil and 300 mL of olive oil in the bottle.