Gwen bought a total of 35 pieces of licorice. She bought 4 times as many red pieces as she did black pieces. a. Write a system of equa

Question

Gwen bought a total of 35 pieces of licorice. She bought 4 times as many red pieces as she did black pieces.
a. Write a system of equations that represents the number of pieces of each kind of licorice that Gwen bought.
b. Solve the system by substitution
c. Interpret the solution

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Thiên Hương 5 months 2021-08-24T12:17:36+00:00 1 Answers 0 views 0

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    2021-08-24T12:18:43+00:00

    Step-by-step explanation:

    The total no of pieces is 35. Let Gwen has B black pieces and R red pieces.

    (a) She bought 4 times as many red pieces as she did black pieces. It means,

    Red pieces = 4B

    Equations that represents the number of pieces of each kind of licorice that Gwen bought are :

    R + B = 35 ….(1)

    and

    R = 4B  ….(2)

    ((b) Put equation (2) in equation (1)

    4B + B = 35

    5B = 35

    B = 7

    Put the value of B in equation (2)

    R = 4(7) = 28

    (c) There are 7 black and 28 red pieces of licorice.

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