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## 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

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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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Mathematics
5 months
2021-08-24T12:17:36+00:00
2021-08-24T12:17:36+00:00 1 Answers
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## Answers ( )

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 = 7Put the value of B in equation (2)

R = 4(7) = 28(c) There are 7 black and 28 red pieces of licorice.