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

`=(1)/(4) x`

cedric eats 3 pieces

so,

Cedric and Gade together eat

`=(1)/(4) x+3`

we are given

Cedric and Gabe eat 9 pieces cake together

so, we can set them equal

and we get

`(1)/(4) x+3 =9`

now, we can solve for x

Subtract both sides 3

`(1)/(4) x+3-3 =9-3`

`(1)/(4) x =6`

Multiply both sides by 4

`(1)/(4) x*4 =6*4`

`x =24`

so,

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