A body lotion is made by mixing coconut milk and olive oil in the ratio of 5 to 4. How much coconut milk and olive oil is required to make 90 ml of the lotion?
To find the amount of coconut milk and olive oil needed, we can set up a proportion based on the ratio of 5 to 4.
Let's denote the amount of coconut milk as x and the amount of olive oil as y.
Therefore, we can write the proportion:
x/y = 5/4
Cross-multiplying, we get:
4x = 5y
To find the specific amounts needed, we can use the given total volume of the lotion, which is 90 ml.
x + y = 90
Now we have a system of equations:
4x = 5y
x + y = 90
Rearrange the second equation:
x = 90 - y
Substitute this value of x into the first equation:
4(90 - y) = 5y
Distribute:
360 - 4y = 5y
Add 4y to both sides:
360 = 9y
Divide both sides by 9:
40 = y
Substitute this value of y into the second equation to find x:
x + 40 = 90
Subtract 40 from both sides:
x = 50
Therefore, to make 90 ml of the lotion, we need 50 ml of coconut milk and 40 ml of olive oil.