To make butter biscuits we need 3/4 kg of sugar for every 2kg butter. If we use 15kg of sugar how much butter do we need
(3/4) / 2 = 15/x
(3/4)x = 30
x = 30(4/3) = 40
or
notice:
sugar : butter = 3/4 : 2
= 3 : 8
so 15:x = 3:8
3x=120
x=40
To find out how much butter is needed when using 15kg of sugar, we can set up a proportion based on the ratio of sugar to butter.
The given ratio is 3/4 kg of sugar for every 2kg of butter.
Let's set up the proportion:
(3/4 kg of sugar) / (2kg of butter) = (15kg of sugar) / (x kg of butter)
Cross-multiplying, we get:
(3/4) * x = 15
To solve for x, the amount of butter needed, multiply 3/4 by x:
(3/4) * x = 15
Next, divide both sides of the equation by 3/4 to isolate x:
x = (15) / (3/4)
To divide by a fraction, we multiply by its reciprocal:
x = (15) * (4/3)
Evaluating the expression, we find:
x = 20
Therefore, when using 15kg of sugar, you would need 20kg of butter to make the butter biscuits.