Write a system of equations and then solve for each variable.
3. the arcadium arcade in lynchburg, tennessee uses 3 different colored tokens for their game machines. for
$20 you can purchase any of the following mixtures of tokens: 14 gold, 20 silver, and 24 bronze; or, 20 gold, 15
silver, and 19 bronze; or, 30 gold, 5 silver, and 13 bronze. what is the monetary value of each token?

Gold=$0.5

Silver=$0.35

Bronze=$0.25

Step-by-step explanation:

This is the system of equations:

(1)

(2)

(3)

Let's begin by substracting (2) from (1):

(4)

Isolating from (4):

(5)

Substituting (5) in (3):

 (6)

Substracting (3) from (2):

Isolating :

(7)

Making (5)=(7):

Isolating :

(8)

Substituting (8) in (6):

Isolating :

 (9) This is the monetary value of silver token

Substituting (9) in (6):

Finding :

(10) This is the monetary value of bronze token

Substituting (10) and (9) in (1):

Finding :

(11) This is the monetary value of golden token

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

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