A red token is worth twice as much as an orange token. An orange token is worth 5 less a yellow token. A yellow token is worth 15 less than a green token. A green token is worth half ad much as a blue token, and a blue token is worth B. How much is a yellow token in terms of B

Question

Mathematics

Irvin Villarreal

26 May, 10:49

A red token is worth twice as much as an orange token. An orange token is worth 5 less a yellow token. A yellow token is worth 15 less than a green token. A green token is worth half ad much as a blue token, and a blue token is worth B. How much is a yellow token in terms of B

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Answers (1)

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Ryder Chandler · Answer 1

Step-by-step explanation:

Let r represent red token,

Let o represent orange token,

Let y represent yellow token

Let g represent green token,

A red token is worth twice as much as an orange token. It means that

r = 2o

An orange token is worth 5 less a yellow token. It means that

o = y - 5

A yellow token is worth 15 less than a green token. It means that

y = g - 15

A green token is worth half as much as a blue token. It means that

g = b/2

a blue token is worth B. Therefore, the worth of a yellow token in terms of B would be

Substituting g = B/2 into y = g - 5, it becomes

y = B/2 - 15