noah is designing a set for a school theater production. he has 150 carboard bricks. he needs to use some of the bricks to make a chimney and 4 times as many bricks to make an arch. he also saves 15 bricks in case some broken. how many can he use?
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GIVEN,
TOTAL NUMBER OF CARDBOARD BRICKS = 150
LET THE NUMBER OF BRICKS USED TO MAKE CHIMNEY BE X.
SO, BRICKS USED TO MAKE AN ARCH = 4X
REMAINING BRICKS = 15
SO,
X + 4X + 15 = 150
5X = 150 - 15
5X = 135
X = 135/5
X = 27.
SO NUMBER OF BRICKS USED TO MAKE CHIMNEY = X = 27
NUMBER OF BRICKS USED TO MAKE AN ARCH = 4X = 4 X 27 = 108
TOTAL NUMBER OF BRICKS HE USED =
27 + 108 = 135
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