QuestionHow many pounds of cake can be made with 40 eggs if 3 eggs are needed per pound? Round to the nearest pound.

Studdy Solution

STEP 1

Assumptions1. The ratio of eggs to pounds of cake is31. There are40 eggs available3. The amount of cake that can be made is rounded to the nearest pound

STEP 2

First, we need to set up a proportion to solve for the unknown amount of cake. The proportion is based on the ratio of eggs to pounds of cake.
$\frac{ggs}{ounds\, of\, cake} = \frac{}{1}$

STEP 3

Now, plug in the given values for the eggs and solve for the unknown pounds of cake.
$\frac{40}{x} = \frac{3}{1}$

STEP 4

To solve for x, we can cross multiply.
$3x =40$

STEP 5

Now, divide both sides by3 to solve for x.
$x = \frac{40}{3}$

STEP 6

Calculate the value of x.
$x = \frac{40}{3} =13.33$

STEP 7

Since we need to round to the nearest pound, we round13.33 to13.
The solution is13 pounds of cake can be made with40 eggs.

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QuestionHow many pounds of cake can be made with 40 eggs if 3 eggs are needed per pound? Round to the nearest pound.

Studdy Solution

STEP 1

Assumptions1. The ratio of eggs to pounds of cake is31. There are40 eggs available3. The amount of cake that can be made is rounded to the nearest pound

STEP 2

First, we need to set up a proportion to solve for the unknown amount of cake. The proportion is based on the ratio of eggs to pounds of cake.
$\frac{ggs}{ounds\, of\, cake} = \frac{}{1}$

STEP 3

Now, plug in the given values for the eggs and solve for the unknown pounds of cake.
$\frac{40}{x} = \frac{3}{1}$

STEP 4

To solve for x, we can cross multiply.
$3x =40$

STEP 5

Now, divide both sides by3 to solve for x.
$x = \frac{40}{3}$

STEP 6

Calculate the value of x.
$x = \frac{40}{3} =13.33$

STEP 7

Since we need to round to the nearest pound, we round13.33 to13.
The solution is13 pounds of cake can be made with40 eggs.

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QuestionHow many pounds of cake can be made with 40 eggs if 3 eggs are needed per pound? Round to the nearest pound.

Studdy Solution

STEP 1

Assumptions1. The ratio of eggs to pounds of cake is31. There are40 eggs available3. The amount of cake that can be made is rounded to the nearest pound

STEP 2

First, we need to set up a proportion to solve for the unknown amount of cake. The proportion is based on the ratio of eggs to pounds of cake.ggsounds of cake=1\frac{ggs}{ounds\, of\, cake} = \frac{}{1}oundsofcakeggs​=1​

STEP 3

Now, plug in the given values for the eggs and solve for the unknown pounds of cake.40x=31\frac{40}{x} = \frac{3}{1}x40​=13​

STEP 4

To solve for x, we can cross multiply.3x=403x =403x=40

STEP 5

Now, divide both sides by3 to solve for x.x=403x = \frac{40}{3}x=340​

STEP 6

Calculate the value of x.x=403=13.33x = \frac{40}{3} =13.33x=340​=13.33

STEP 7

Since we need to round to the nearest pound, we round13.33 to13.The solution is13 pounds of cake can be made with40 eggs.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

First, we need to set up a proportion to solve for the unknown amount of cake. The proportion is based on the ratio of eggs to pounds of cake.
$\frac{ggs}{ounds\, of\, cake} = \frac{}{1}$

Now, plug in the given values for the eggs and solve for the unknown pounds of cake.
$\frac{40}{x} = \frac{3}{1}$

To solve for x, we can cross multiply.
$3x =40$

Now, divide both sides by3 to solve for x.
$x = \frac{40}{3}$

Calculate the value of x.
$x = \frac{40}{3} =13.33$

Since we need to round to the nearest pound, we round13.33 to13.
The solution is13 pounds of cake can be made with40 eggs.