You have three sticks, one red, one green, and one blue. 1. The red one is three times as long as the blue 2. The green one is 7 inches longer than the blue. 3. The blue and green together are the same length as the red How long are each of your sticks?

Question

Mathematics

Marge

25 August, 19:03

You have three sticks, one red, one green, and one blue. 1. The red one is three times as long as the blue 2. The green one is 7 inches longer than the blue. 3. The blue and green together are the same length as the red How long are each of your sticks?

+3

Answers (1)

Know the Answer?

Mitchell Mccarty · Answer 1

Answer: red is 21, green is 14 and blue is 7

Step-by-step explanation:

Let r represent the length of the red stick.

Let g represent the length of the green stick.

Let b represent the length of the blue stick.

The red one is three times as long as the blue. This means that

r = 3b

The green one is 7 inches longer than the blue. This means that

g = b + 7

The blue and green together are the same length as the red. This means that

b + g = r

g = r - b

Therefore

b + 7 = r - b

r = b + b + 7 = 2b + 7

Substituting r = 3b into r = 2b + 7, it becomes

3b = 2b + 7

3b - 2b = 7

b = 7

r = 3b = 3 * 7 = 21

g = b + 7 = 7 + 7 = 14