A cargo helicopter delivers only 100-pound packages
and 120-pound packages. For each delivery trip, the
helicopter must carry at least 10 packages, and the
total weight of the packages can be at most
1,100 pounds. What is the maximum number of
120-pound packages that the helicopter can carry
per trip?
A) 2
B) 4
C) 5
D) 6

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PratikshaS PratikshaS · Answer 1 · 2022-08-23T16:19:52+02:00

The maximum number of 120-pound packages that the helicopter can carry per trip = 5

The correct answer is an option (C)

For given question,

Let x be the number of 100-pound packages and y be the number of 120-pound packages.

For each delivery trip, the helicopter must carry at least 10 packages.

So we get an inequality,

x + y ≥ 10 ....................(1)

The total weight of the packages can be at most 1,100 pounds.

So we get an inequality,

100x + 120y ≤ 1100 ...................(2)

From (1),

x = 10 - y

Substitute above value of x in inequality (2)

⇒ 100x + 120y ≤ 1100

⇒ 10x + 12y ≤ 110

⇒ 5x + 6y ≤ 55

⇒ 5(10 - y) + 6y ≤ 55

⇒ 50 - 5y + 6y ≤ 55

⇒ y ≤ 5

Therefore, the maximum number of 120-pound packages that the helicopter can carry per trip = 5

The correct answer is an option (C)

Learn more about an inequality here:

https://brainly.com/question/19003099

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