The organizers at a job fair purchase plastic cups for serving refreshments to attendees. The organizers expect at least 1,700 attendees, and they must ensure a sufficient number of cups. The cups arrive packed in cartons. The number of cups in each carton is 5 more than four times the number of cartons. Which of the following inequalities can be used to determine c, the number of cartons of cups purchased?

Question

Giselle Riggs

Mathematics

10 September, 23:41

The organizers at a job fair purchase plastic cups for serving refreshments to attendees. The organizers expect at least 1,700 attendees, and they must ensure a sufficient number of cups. The cups arrive packed in cartons. The number of cups in each carton is 5 more than four times the number of cartons. Which of the following inequalities can be used to determine c, the number of cartons of cups purchased?

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Answers (1)

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Amanda Barr · Answer 1

4c+5≥1,700.

Step-by-step explanation:

Let c be the number of cartons of cups purchased. Since the number of cups in each carton is 5 more than four times the number of cartons, then the number of cups is 4c+5.

The organizers expect at least 1,700 attendees, then the total number of cups should be greater or equal to 1,700. This gives you the inequality

4c+5≥1,700.