A small bag can hold 40 packets of crackers and a large bag can hold 90 packets of crackers. If the total number of bags exceeds 300 a

Question

A small bag can hold 40 packets of crackers and a large bag can hold 90
packets of crackers. If the total number of bags exceeds 300 and the total
number of packets of crackers exceeds 1500, represent the situation using a
system of linear inequalities.

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Delwyn 4 years 2021-07-23T09:07:20+00:00 1 Answers 36 views 0

Answers ( )

  1. Ladonna
    0
    2021-07-23T09:09:16+00:00
    Reply

    Answer:

    s + l > 300

    40 * s + 90 * l > 1500

    Step-by-step explanation:

    Let’s say the amount of small bags is equal to s and the amount of large bags is equal to l.

    The total amount of bags is equal to the sum of the small bags and large bags, as there can only be small or large bags. Therefore, the total amount of bags is equal to s + l. As the total amount of bags is greater than 300, we can write

    s + l > 300

    Next, the total number of packets of crackers exceeds 1500. We can find the total number of packets based on the amount of small and large bags. Because each small bag holds 40 packets, we can say that the amount of packets in small bags is equal to 40 * s. Similarly, the total amount of packets in large bags is equal to 90 * l. Therefore, the total amount of packets is equal to

    40 * s + 90 * l

    and since the total number of packets is greater than 1500, we can say

    40 * s + 90 * l > 1500

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