pauline has 35 cups of flour. She makes cakes that require 2 1/4 cups each. if she makes as many such cakes as she has flour for, how much flour will be left over?
The answer is the greatest integer that is equal to or less than 35/2.25.
Since that ratio is 15.556 (or 15 5/9), you can make 15 cakes.
To find out how many cakes Pauline can make with 35 cups of flour, we need to divide the total amount of flour by the amount of flour needed for each cake.
The amount of flour needed for each cake is 2 1/4 cups, which can also be written as 2.25 cups.
35 cups ÷ 2.25 cups = 15.56 cakes.
Since Pauline cannot make a fraction of a cake, she can make a maximum of 15 cakes with 35 cups of flour.
To calculate how much flour will be left over, we need to multiply the amount of flour needed for each cake by the number of cakes made and subtract it from the total amount of flour.
(2.25 cups/cake) × 15 cakes = 33.75 cups.
35 cups - 33.75 cups = 1.25 cups.
Therefore, Pauline will have 1.25 cups of flour left over.
To find out how much flour will be left over, we need to divide the total cups of flour by the amount of flour required for each cake.
Pauline has 35 cups of flour, and each cake requires 2 1/4 cups of flour.
First, we need to convert the mixed number 2 1/4 to an improper fraction. To do this, we multiply the whole number (2) by the denominator (4) and add the numerator (1) to get the numerator of the improper fraction. The denominator remains the same.
2 * 4 + 1 = 8 + 1 = 9
So, 2 1/4 as an improper fraction is 9/4.
Now we can divide the total cups of flour by the amount of flour required for each cake:
35 cups of flour ÷ 9/4 cups per cake.
To divide by a fraction, we multiply by its reciprocal. So, we have:
35 cups of flour * 4/9 cups per cake.
Now, we can calculate the answer:
35 * 4 = 140 cups of flour
140 ÷ 9 = 15 5/9 cups of flour.
Therefore, Pauline will have 15 5/9 cups of flour left over.