SOLUTION: An 802 seat multiplex is divided into 3 theaters. There are twice as many seats in Theatre 1 as Theatre 3. there are 150 more seats in Theatre 2 than in Theatre 3. Hoe many seats

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Question 821523: An 802 seat multiplex is divided into 3 theaters. There are twice as many seats in Theatre 1 as Theatre 3. there are 150 more seats in Theatre 2 than in Theatre 3. Hoe many seats are in each theatre?
Show work please so I can understand how to do it!!
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the number of seats in theater 3, then
2x is the number of seats in theater 1 and
x+150 is the number of seats in theater 2
now we can write
2x +(x+150) +x = 802
combine x terms
4x +150 = 802
subtract 150 from both sides of =
4x = 652
divide both sides of = by 4
x = 163
theater 1 has 2*163 seats = 326 seats
theater 2 has 163+150 seats = 313 seats
theater 3 has 163 seats
check our answers
326 + 313 + 163 = 802
802 = 802
answers check :-)