mrs.graybought some eggs.she used 1/2 of them to make tars and 1/4 of the remainder to make a cake she had 9 eggs left how many eggs did she buy?
Let n = number of eggs she bought.
It was said she used 1/2 of them, then 1/4 of remainder, then she had 9 eggs left.
Thus, (total eggs) minus (used eggs) equals the 9 eggs remaining, or
n - [(1/2)n + (1/4)(1/2)n] = 9
Solving for n,
n - (0.5n + 0.125n) = 9
0.375n = 9
n = 9 / 0.375
n = 24 eggs
hope this helps~ `u`
To solve this problem, we can break it down step by step. Let's start by defining a variable for the total number of eggs Mrs. Gray bought. Let's call it "x."
According to the problem, Mrs. Gray used 1/2 of the eggs to make tarts. Therefore, the number of eggs she had left after making tarts would be 1/2 of x.
Next, Mrs. Gray used 1/4 of the remaining eggs to make a cake. This means that she used 1/4 of 1/2 of x, which can be expressed as (1/4) * (1/2) * x = (1/8) * x.
Finally, the problem states that Mrs. Gray had 9 eggs left after making the cake. So we can set up the equation:
(1/2) * x - (1/8) * x = 9
Now, we can solve for x:
(4/8) * x - (1/8) * x = 9
(3/8) * x = 9
x = (9 * 8) / 3
x = 24
Therefore, Mrs. Gray bought 24 eggs.