Jill is making bread for a large group of people. 5/6 of a pound of flour only accounts for 3/7 of the recipe. How many pounds of flour is needed for the entire recipe?
And your answer is.....?
5/6 * 7/3 = ___
(3/7) of recipe <---> (5/6) pounds of flour
(7/3)(3/7) of recipe <----> (7/3)(5/6) pounds of flour
1 recipe <-----> 35/18 pounds of flour or appr 1.94 pounds
or
3/7 : 1 = 5/6 : x
3 : 7 = 5 : 6x
3/7 = 5/6x
18x = 35
x = 35/18 = same as above
(3/7)x = 5/6
Multiply both sides by 7/3.
X = 7/3 * 5/6 = 35/18 = 1.94 Lbs.
To determine the amount of flour needed for the entire recipe, we can set up a proportion using the given information. Let's assign x as the total pounds of flour needed for the recipe.
We know that 5/6 of a pound of flour accounts for 3/7 of the recipe. So we can write the proportion as:
(5/6) / x = (3/7) / 1
To solve this proportion, we can cross-multiply:
(5/6) * 1 = (3/7) * x
5/6 = 3x/7
Next, let's isolate x by multiplying both sides of the equation by 7:
(7 * 5/6) = 3x
35/6 = 3x
To solve for x, we need to isolate it by multiplying both sides of the equation by the reciprocal of 3:
(6/3) * (35/6) = x
(2/1) * (35/1) = x
70/1 = x
x = 70
Therefore, the entire recipe requires 70 pounds of flour.