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24 April, 22:32

The catering company is setting the table for a big event that will host 764 people when they set up the tables they need 2 forks for each child and 5 forks for each adult the company ordered a total of 2992 forks set up a system of equations involving the number of adults and the number of children C to solve to find out how many of each attended the event

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  1. 24 April, 22:38
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    Given:

    child = 2 forks

    adult = 5 forks

    total number of forks = 2992

    total number of people = 764

    c + a = 764

    2c + 5a = 2992

    find the value of c using the 1st equation.

    c = 764 - a

    substitute c in the 2nd equation by its value

    2c + 5a = 2992

    2 (764-a) + 5a = 2992

    1528 - 2a + 5a = 2992

    1528 + 3a = 2992

    3a = 2992 - 1528

    3a = 1464

    3a/3 = 1464/3

    a = 488

    c = 764 - a

    c = 764 - 488

    c = 276

    child = 276; adult = 488

    2c + 5a = 2992

    2 (276) + 5 (488) = 2992

    552 + 2440 = 2992

    2992 = 2992
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