In preparing a recipe for a 🍰 cake, the ratio of flour to sugar is 40:3. Find the required quantity of flour with 18kg of sugar.
40:3 = 240:18
To find the required quantity of flour with 18kg of sugar, you will need to use the given ratio of flour to sugar, which is 40:3.
Let's break down the steps to solve the problem step-by-step:
Step 1: Understand the ratio
The ratio states that for every 40 units of flour, there are 3 units of sugar.
Step 2: Set up the proportion
Since we know the amount of sugar (18kg), we can set up the proportion as follows:
40 units of flour / 3 units of sugar = x units of flour / 18kg of sugar
Step 3: Solve the proportion
Now we can cross-multiply and solve for x:
40 * 18 = 3x
Step 4: Simplify and solve for x
720 = 3x
Dividing both sides of the equation by 3:
x = 240
Step 5: Check your answer
To ensure our solution is correct, we can substitute the value of x back into the proportion:
40 units of flour / 3 units of sugar = 240 units of flour / 18kg of sugar
Cross multiplying:
40 * 18 = 3 * 240
720 = 720
Step 6: Determine the required quantity of flour
The required quantity of flour with 18kg of sugar is 240 units.
Therefore, you will need 240 units of flour in your recipe if you have 18kg of sugar.
To find the required quantity of flour, you need to use the given ratio and the amount of sugar.
The given ratio of flour to sugar is 40:3, which means that for every 40 parts of flour there are 3 parts of sugar.
First, you need to determine the "part" value. Divide the amount of sugar by the corresponding part of sugar from the ratio:
Part value = 18 kg of sugar / 3 = 6 kg per part.
Now that you know the "part" value, you can find the required quantity of flour by multiplying it by the corresponding part of flour from the ratio:
Required quantity of flour = Part value × Ratio of flour = 6 kg per part × 40 parts = 240 kg of flour.
Therefore, with 18 kg of sugar, the required quantity of flour for the cake recipe is 240 kg.