when a large cake is cut into pieces that each weigh 3 ounces, it yields 110 pieces. how many pieces would the cake yield if it were cut into 2 ounce piece instead?

110 * 3 = 330 ounces

330/2 = 165 pieces

thank you

You're welcome.

To find out how many pieces the cake would yield if cut into 2-ounce pieces instead of 3-ounce pieces, we can use the concept of proportion.

First, let's determine the weight of the large cake. Given that there are 110 pieces that each weigh 3 ounces, the total weight of the cake is calculated by multiplying the number of pieces by the weight per piece:

Weight of the cake = Number of pieces × Weight per piece = 110 × 3 = 330 ounces

Now, we can find the number of pieces the cake would yield if cut into 2-ounce pieces. Since the weight of the cake remains the same, we can set up a proportion:

3 ounces per piece = 2 ounces per piece

110 pieces = x pieces (number of pieces when cut into 2-ounce pieces)

We can cross-multiply:

3 * x = 2 * 110

3x = 220

Next, divide both sides of the equation by 3:

x = 220 / 3

x ≈ 73.33

Since the number of pieces must be a whole number, rounding down, the cake would yield approximately 73 pieces if cut into 2-ounce pieces.