Can someone please explain this to me in detail? Thank you! To make 4 3/5 cakes, 2/3 pounds of flour is needed. How much flour is needed to make one cake?
Divide.
(2/3) / (4 3/5) =
(2/3) / (23/5)
(2/3) * (5/23) = 10/69 pound
the amount of flour needed is directly proportional to the number of cakes...more cakes, more flour
the constant of proportionality (k) is the flour per cake
4⅗ * k = 2/3
dividing both sides by 4⅔
k = 10/69 lb/cake
seems more like a cupcake...
4 3 / 5 = 4 + 3 / 5 = 4 * 5 / 5 + 3 / 5 = 20 / 5 + 3 / 5 = 23 / 5
( 2 / 3 ) / 4 3 / 5 =
( 2 / 3 ) / ( 23 / 5 ) =
2 * 5 / ( 3 * 23 ) =
10 / 69 pounds
To find out how much flour is needed to make one cake, we can set up a proportion using the given information.
We know that to make 4 3/5 cakes, 2/3 pounds of flour is needed. Let's convert the mixed number, 4 3/5, to an improper fraction.
4 3/5 = (4 × 5 + 3)/5 = 23/5
So, we can now set up the proportion:
(2/3) pounds of flour / 23/5 cakes = x pounds of flour / 1 cake
To solve for x, we can cross-multiply and then divide:
x = (2/3) * 1 / (23/5)
x = 2/3 * 5/23
x = 10/69
Therefore, to make one cake, you would need 10/69 pounds of flour.