800 seats, 3 sections. 1st section 270 seats 2nd section 150 more seats than 3rd section. How many in 2nd section

Question

An 800 seat cinema is divided into 3 theatres. There are 270 seats in theatre 1, there are 150 more seats in theatre 2 than in theatre 3. How many seats are in theatre 2?

Answer 1

there are 800 total seats so

 

theater 1 + theater 2 + theater 3 = 800

 

we know there are 270 seats in theater 1 so substitute into the equation

 

270 + theater 2 + theater 3 = 800

 

we also know theater 2 has 150 more than theater 3

 

so let theater 3 be "x", then theater 2 will be 150 + x

 

now plug that info into our equation

 

270 + 150 + x + x =800

 

now solve for x

 

420 + 2x = 800

 

2x =380

 

x = 190

 

so we know that theater 3 has 190

 

theater 2 has 150 more than theater 3 so theater 2 has 150 + 190 or 340

 

That answers the question Theater 2 has 340 seats

 

Now check: do all the theaters add up to 800

 

270 + 340 + 190 =800

 

Yes!!!!