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Answer :
The maximum weight that can be carried by the elevator is 340 pounds. Shawn weighs 100 and the remaining 240 pounds can be filled by packages of 5 pounds each. Hence, the correct inequality here, is n ≤ 48.
What is mathematical inequality ?
The mathematical expression showing the unequal relation between two variables is called inequality in mathematics. Inequalities are represented with the symbols ' ≤ ' or ' ≥' .
Here, the maximum load that can be carried by the elevator = 340 pounds.
weight of Shawn = 100 pounds.
weigh of each packages = 5 pounds.
Thus, in 340 pounds, 100 pounds is filled by Shawn himself. Remaining 240 pounds can be filled by the packages.
n be the number of packages. The weight of total packages = 5n
Thus number should less than or equal to 240 pounds.
Hence, 5n ≤ 240
divide through out by 5,
n ≤ 48.
Therefore, n ≤ 48 shows the maximum number of packages.
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340 pounds minus Shawn's weight of 100 pounds gives us 240 pounds left for packages.
Each package weights 5 pounds so we take 240 and divide it by 5.
240/5 = 48
Shawn can carry a maximum of 48 packages with him.
n ≤ 48
Each package weights 5 pounds so we take 240 and divide it by 5.
240/5 = 48
Shawn can carry a maximum of 48 packages with him.
n ≤ 48
