Edgar is making an egg casserole for brunch. He needs eggs and sausages in the ratio of 3 : 2. If he is going to use 12 eggs how many sausages does he need
If the ratio of eggs to sausages is 3:2, this means that for every 3 eggs, there are 2 sausages.
To find out how many sausages he needs with 12 eggs, we can set up a proportion:
3 eggs / 2 sausages = 12 eggs / x sausages
Cross multiplying, we get:
3 * x = 2 * 12
3x = 24
Dividing both sides of the equation by 3:
x = 8
Therefore, he needs 8 sausages.
To determine the number of sausages Edgar needs, we can set up a proportion based on the given ratio.
The ratio of eggs to sausages is 3:2, which can be expressed as 3/2.
Let's represent the number of sausages Edgar needs as 'x'.
The proportion can now be written as:
12 eggs / x sausages = 3/2
To solve for 'x', we can cross-multiply:
12 * 2 = 3 * x
Simplifying the equation:
24 = 3x
Dividing both sides by 3:
24 / 3 = x
8 = x
Therefore, Edgar needs 8 sausages for the egg casserole.
To find out how many sausages Edgar needs, we'll use the given ratio of eggs to sausages, which is 3:2.
1. First, we need to determine the unit ratio. We can do this by dividing both parts of the ratio (eggs and sausages) by their greatest common divisor (GCD) to simplify the ratio. In this case, the GCD of 3 and 2 is 1, so the unit ratio is 3:2.
2. Next, we'll set up a proportion using the unit ratio and the known quantity of eggs. Since 3:2 is the unit ratio, we can set up the proportion as follows:
eggs/6 = sausages/x
Here, "6" is derived from dividing the known quantity of eggs (12) by the first number in the unit ratio (3) to find the common multiple.
3. Solving the proportion, we cross-multiply to get:
eggs * x = sausages * 6
Since we know the quantity of eggs (12), the equation becomes:
12 * x = sausages * 6
4. Rearranging the equation to solve for sausages:
sausages = (12 * x) / 6
5. Since we want to find the number of sausages Edgar needs when using 12 eggs, substitute the value of eggs (12) into the equation:
sausages = (12 * x) / 6
sausages = 2x
So, Edgar needs 2x sausages.
To determine the exact number of sausages, we need the value of x.