Question

Michael bakes a soft pretzel and a loaf of bread. Use the system of equations to find c, the amount of flour, in cups, needed for the soft pretzel, and b, the amount of flour, in cups, needed for the loaf of bread. Show your work.

b = 24c


(1/4)b + 4c = 5/4

Answer 1

1/8 cups flour for pretzel

3 cups flour for bread

Explanation:

we can first change 1/4b + 4c = 5/4 to b + 16c = 5 by multiplying by 4

we can solve for 'b' by subtracting '16c' from each side to get:

b = 5 - 16c

remember, 'b' also equals 24c (as given)

solve for 'c' by setting them equal:

5 - 16c = 24c

5 = 40c

5/40 reduces to 1/8, which is the amount for 'c'

now solve for 'b':

b = 24 multiplied by 1/8, which gives us 3

therefore, 3 is the amount for 'b'