Math Snap

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.
$$x = \frac{40}{3} =13.33$$

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