Jay uses 12 ounces of flour for muffins and 16 cookies then he on half what is left pancakes leaving how much did start with?
To determine how much Jay started with flour, let's work through the following steps:
1. Determine the amount of flour used for muffins and cookies.
Jay uses 12 ounces for muffins and 16 ounces for cookies, so the total flour used for these items is:
12 ounces (for muffins) + 16 ounces (for cookies) = 28 ounces
2. Calculate half of the remaining flour.
Since Jay used 28 ounces of flour for muffins and cookies, we need to find out how much flour he had left. Then, we'll calculate half of that remaining amount.
Let's assume Jay started with 'x' ounces of flour. After using 28 ounces, he would have:
'x' ounces (initial amount) - 28 ounces (used) = 'x' - 28 ounces
Half of the remaining flour would be:
(1/2) * ('x' - 28) ounces
3. Add the flour used for muffins, cookies, and pancakes.
Jay also used half of the remaining flour for pancakes, so we need to add this amount to the flour he used for muffins and cookies:
28 ounces (used for muffins and cookies) + (1/2) * ('x' - 28) ounces (used for pancakes)
4. Set the expression equal to the initial amount of flour.
We can set this expression equal to the initial amount of flour Jay started with:
28 ounces + (1/2) * ('x' - 28) ounces = 'x' ounces
5. Solve for 'x'.
To solve for 'x,' let's simplify the equation:
28 ounces + (1/2) * 'x' - 14 ounces = 'x'
28 + (1/2)'x - 14 = 'x
(1/2)'x -14 + 14= 'x -14
(1/2)'x= 14
'x' = 14 * 2
'x' = 28 ounces
Therefore, Jay started with 28 ounces of flour.
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