Andre is making paper cranes decorate for a party. He plans to make one large paper crane for a centerpiece and several smaller paper cranes

Question

Andre is making paper cranes decorate for a party. He plans to make one large paper crane for a centerpiece and several smaller paper cranes to put around the table. It takes Andre 10 minutes to make the centerpiece and 3 minutes to make each small crane. He will only have 30 minutes to make the paper cranes once he gets home.

​Andre wrote the inequality 3x + 10 ≤ 30 to plan his time. Describe what x, 3x, 10, and 30 represent in this inequality.

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Nick 5 years 2021-08-10T13:46:55+00:00 1 Answers 46 views 0

Answers ( )

  1. trucchi
    1
    2021-08-10T13:48:53+00:00
    Reply

    Answer:

    Andre can make 6 small paper cranes in 30 minutes.

    Step-by-step explanation:

    Given data-

    Time taken by Andre to build small cranes- 3minutes

    Time taken to build large crane- 10 minutes

    Total time allotted to him= 30 min

    His preferences- Building one large crane and several small cranes.

    The Inequality equation is 3​c​ + 10 ≤ 30

    Since his preference is to build atleast one large crane which takes 10 minutes, he is left with 30-10 = 20 minutes to build other small cranes.

    For one crane he needs, 3 minutes

    Hence, he can build 6 cranes in 18 minutes. Following this, he is left with  20-18= 2 minutes. Since he needs at least 3 min to build a small crane, he cannot build a small crane in the remaining 2 min.

    he builds 6 small cranes in 30 minutes

    Alternatively,

    3​c​ + 10 ≤ 30

    Subtracting 10 from both sides

    3c ≤ 20

    The maximum value of c for which this equation remains valid is 6.

    Thus, he builds a total of 6 cranes (small) in 30 minutes.

    I hope this helps.

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