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Aneli [31]
3 years ago
5

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 1

5 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
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
7 0

Answer:

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

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The coordinates of point F are (15/4 , -5/2)

  • The coordinates of point G  = (-3/4 , -3)

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From the image attached:

AB divided into 4 similar parts, hence

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Since D is the mid-point of AE, A (-3 , -1), E (3/2 , -2)

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Then DG =  vertical segment

So  G has similar x-coordinate of D

Then  The x-coordinate of G = -3/4

The  G = (-3/4 , -3)

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