Shawn wants to use an elevator to carry identical packages, each weighing 5 pounds. Shawn weighs 100 pounds. If the elevator can carry a maximum of 340 pounds at a time, which inequality shows the maximum number of packages, \( n \), that Shawn can carry with himself in the elevator if he is the only passenger?

A. \( n \geq 48 \)
B. \( n \leq 235 \)
C. \( n \leq 48 \)
D. \( n \geq 235 \)

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

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kanikabajaj294 kanikabajaj294 · Answer 2 · 2025-02-03T18:58:36-05:00

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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