Answer: 4573.8
Equation:
1/3*pi*r^2*h
In this item, we are given with the amounts of both the flour and sugar.
Part A:
First, we determine the total amount of recipes needed for the batch.
total amount = (4 1/5 cup) + (2 3/7 cup)
total amount = 232/35 cup
To determine the total amount of sugar needed for 4/9 of the recipe, we multiply the given amount of sugar by 4/9. That is,
amount of sugar = (4/9)(2 3/7)
<em> amount of sugar = 68/63 cups of sugar</em>
Part B: To determine the amount of flour needed is 3 times the given amount for each batch.
amount of flour = (3)(4 1/5 cups of flour)
<em> amount of flour = 63/5 cups or 12.6 cups of flour</em>
Well if you think about it, you are given 2 equations. lets say the 2 numbers ar x and y
it says one number that we willl call y is 4 times another number we will call x. so:
y = 4 * x
the other part says their difference is 24. well y has to be the larger number sincenit is 4 times x. so:
y - x = 24
in the first part i said y = 4x so i know what y equals. i can plug this into thenother equation like this
y - x = 24
(4x) - x = 24
3x = 24
x = 8
i have x. i can plug this in first equation to find y
y = 4x
y = 4 (8)
y = 32
we can checj by plugging in x and y to both equations. if it matches we are.good
y = 4x
32 = 4 (8)
32 = 32
y - x = 24
(32) - (8) = 24
24 = 24
it all works out
