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:

$x=\frac{1}{3}x+\frac{1}{2}(\frac{1}{3}x)+J$

And solving for J we got:

$J=x-\frac{1}{3}x-\frac{1}{6}x$

We can take common facotr and we got:

$J=x(1-\frac{1}{3}-\frac{1}{6})$$J=\frac{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)