Question

I need help with math please

Answer 1

Information given

We know that Bryant ate 1/3 of a pizza

We also know that Brenda ate 1/2 of what Bryant ate

And we also know that Jack ate 1/2 a pizza more than Brenda

We want to find how much pizza did Jack eat

Notation

Let x the variable who represent a pizza

And for this case we can set upt the following equation:

`x=B+Br+J`

Where B = Bryant , Br= Brenda and J=Jack. We can replace the info given and we got:

`x=(1)/(3)x+(1)/(2)((1)/(3)x)+J`

And solving for J we got:

`J=x-(1)/(3)x-(1)/(6)x`

We can take common facotr and we got:

`J=x(1-(1)/(3)-(1)/(6))`
`J=(1)/(2)x`

Since Bryant ate 1/3 of the pizza we have remaining 1- 1/3= 2/3 of the pizza

From this 2/3 we know that brenda ate 1/6 so then we have remaining 2/3 -1/6= 1/2

So then Jack eat 1/6 + 1/12= 1/4 (Because Jack eat 1/2 a pizza more than Brenda)