Question

cedric and Gabe eat 9 pieces cake together, cedric eats 3 pieces and Gabe eats another fourth of the whole cake. How many pieces of cake total?

Answer 1

Let's assume

total number of pieces in a cake is x

Gabe eats another fourth of the whole cake

so,

Gabe eats

$=\frac{1}{4} x$

cedric eats 3 pieces

so,

Cedric and Gade together eat

$=\frac{1}{4} x+3$

we are given

Cedric and Gabe eat 9 pieces cake together

so, we can set them equal

and we get

$\frac{1}{4} x+3 =9$

now, we can solve for x

Subtract both sides 3

$\frac{1}{4} x+3-3 =9-3$

$\frac{1}{4} x =6$

Multiply both sides by 4

$\frac{1}{4} x*4 =6*4$

$x =24$

so,

total number of pieces are 24.........Answer