A baker makes cakes and pies she used 1 cup of flour for each cake and 3/4 cup of flour for each pie in total she made 14 desserts and used 11 3/4 cups of flour how many pies and cakes did she make

Answer 1

Let's assume the number of cakes made is "x" and the number of pies made is "y".
According to the given information, we have the following equations:
1. x + y = 14 (as the total number of desserts made is 14)
2. 1x + (3/4)y = 11 3/4 (as the total amount of flour used is 11 3/4 cups)

To solve these equations, we can use the substitution method.

From equation (1), we can rewrite it as x = 14 - y and substitute this value into equation (2).
1(14 - y) + (3/4)y = 11 3/4
14 - y + (3/4)y = 11 3/4
Multiply through by 4 to get rid of the fraction:
56 - 4y + 3y = 47
Combine like terms:
56 - y = 47
Subtract 56 from both sides of the equation:
-y = -9
Divide through by -1 to solve for y:
y = 9

Now substitute the value of y back into equation (1):
x + 9 = 14
Subtract 9 from both sides of the equation:
x = 14 - 9
x = 5

Therefore, the baker made 5 cakes and 9 pies.