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Question 1046617: Derek weighs 155 pounds and drives a utility vehicle that can carry no more
than 220 pounds. He plans to use his utility vehicle to haul blocks to his
backyard. Which inequality shows the number of 3 pound blocks, b, Derek can
haul at one time on his utility truck?
A. b ≤ 21
B. b ≤ 22
C. b ≤ 73
D. b ≤ 74
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! he weighs 155 pounds.
the utility vehicle can carry a maximum of 220 pounds.
220 - 155 = 65 pounds that is available for whatever the utility vehicle can carry.
65/3 = 21 and 2/3.
since he can't carry partial blocks, then the maximum number of blocks he can carry would be 21.
that would be selection A.
the equation is 220 >= 155 + 3*x
subtract 155 from both sides of the equation to get:
65 >= 3*x
divide both sides of the equation by 3 to get:
65/3 >= 3*x
simplify to get:
21.67 >= x
round to the smallest integer to get:
21 >= x
you could not round to the next largest integer, because then the answer would be 22 >= x.
at 22 blocks, the total weight would be 155 + 22*3 = 221 pounds which would be greater than the capacity of the vehicle.
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