Kim made three quiches for a party: cheese, spinach, and mushroom. The cheese quiche was cut into 8 equal pieces, the spinach quiche was cut into 16 equal pieces, and the mushroom quiche was cut into 4 equal pieces. At the party, people ate 5 pieces of the cheese, 9 pieces of the spinach, and 2 pieces of the mushroom. Which quiche did people eat the most of? Identify the fractions in numerical order from greatest to least(1 point) Responses 1016 , 816 , 916 ; The cheese quiche was eaten the most 1016 , 816 , 916 ; The cheese quiche was eaten the most 916 , 58 , 24 ; The spinach quiche was eaten the most 916 , 58 , 24 ; The spinach quiche was eaten the most 16 , 8 , 4 ; the cheese quiche was eaten the most 16 , 8 , 4 ; the cheese quiche was eaten the most 58 , 916 , 24 ; the cheese quiche was eaten the most

Question

Kim made three quiches for a party: cheese, spinach, and mushroom. The cheese quiche was cut into 8 equal pieces, the spinach quiche was cut into 16 equal pieces, and the mushroom quiche was cut into 4 equal pieces. At the party, people ate 5 pieces of the cheese, 9 pieces of the spinach, and 2 pieces of the mushroom. Which quiche did people eat the most of? Identify the fractions in numerical order from greatest to least(1 point) Responses 1016 , 816 , 916 ; The cheese quiche was eaten the most 1016 , 816 , 916 ; The cheese quiche was eaten the most 916 , 58 , 24 ; The spinach quiche was eaten the most 916 , 58 , 24 ; The spinach quiche was eaten the most 16 , 8 , 4 ; the cheese quiche was eaten the most 16 , 8 , 4 ; the cheese quiche was eaten the most 58 , 916 , 24 ; the cheese quiche was eaten the most

Answer 1

916, 58, 24 ; The spinach quiche was eaten the most

Answer 2

To determine which quiche was eaten the most, we need to compare the fractions of pieces eaten for each quiche.

The cheese quiche was cut into 8 equal pieces, and people ate 5 pieces. So, the fraction of the cheese quiche eaten is 5/8.

The spinach quiche was cut into 16 equal pieces, and people ate 9 pieces. So, the fraction of the spinach quiche eaten is 9/16.

The mushroom quiche was cut into 4 equal pieces, and people ate 2 pieces. So, the fraction of the mushroom quiche eaten is 2/4, which can be simplified to 1/2.

The fractions in numerical order from greatest to least are:
9/16, 5/8, 1/2.

Therefore, the quiche that people ate the most of is the spinach quiche.

Answer 3

To determine which quiche was eaten the most, we need to compare the fraction of each quiche that was eaten.

First, let's calculate the fraction of each quiche that was eaten by dividing the pieces eaten by the total number of pieces for each quiche.

For the cheese quiche:
Fraction eaten = 5 pieces eaten / 8 total pieces = 5/8

For the spinach quiche:
Fraction eaten = 9 pieces eaten / 16 total pieces = 9/16

For the mushroom quiche:
Fraction eaten = 2 pieces eaten / 4 total pieces = 2/4 (which simplifies to 1/2)

Now, let's compare these fractions from greatest to least:

Cheese quiche: 5/8 = 10/16
Spinach quiche: 9/16
Mushroom quiche: 1/2 = 8/16

As we rank the fractions, we find that the order from greatest to least is:
10/16 (cheese quiche), 9/16 (spinach quiche), 8/16 (mushroom quiche).

Therefore, the correct answer is: 1016, 916, 816. The cheese quiche was eaten the most, followed by the spinach quiche and then the mushroom quiche.