1/8 of a pole is painted red, and 2/7of the remainder is blue, the rest being white. If the white portion is 150cm long, what lenght is red. Please show working

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Asked 11/11/2010 8:07:28 AM

Updated 7/17/2023 12:48:35 AM

1 Answer/Comment

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Expert answered|meeya94|Points 0|

Question

Asked 11/11/2010 8:07:28 AM

Updated 7/17/2023 12:48:35 AM

1 Answer/Comment

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3

Let's denote the length of the entire pole as "x" cm.

The remainder of the pole, which is not painted red, is (1 - 1/8) = 7/8 of the pole's length.

Now, we know that 2/7 of the remainder is blue. So, the length of the blue portion is (2/7) * (7/8) * x.

The remaining white portion is given as 150 cm.

Red length + Blue length + White length = Total length

(1/8) * x + (2/7) * (7/8) * x + 150 cm = x

To solve for x, we can simplify the equation:

(1/8) * x + (2/8) * x + 150 cm = x

[(1/8) + (2/8)] * x + 150 cm = x

(3/8) * x + 150 cm = x

3x + 1200 = 8x

1200 = 5x

x = 240 cm

Red length = (1/8) * x = (1/8) * 240 cm = 30 cm

Therefore, the length of the red portion is 30 cm.

The remainder of the pole, which is not painted red, is (1 - 1/8) = 7/8 of the pole's length.

Now, we know that 2/7 of the remainder is blue. So, the length of the blue portion is (2/7) * (7/8) * x.

The remaining white portion is given as 150 cm.

Red length + Blue length + White length = Total length

(1/8) * x + (2/7) * (7/8) * x + 150 cm = x

To solve for x, we can simplify the equation:

(1/8) * x + (2/8) * x + 150 cm = x

[(1/8) + (2/8)] * x + 150 cm = x

(3/8) * x + 150 cm = x

3x + 1200 = 8x

1200 = 5x

x = 240 cm

Red length = (1/8) * x = (1/8) * 240 cm = 30 cm

Therefore, the length of the red portion is 30 cm.

Added 7/17/2023 12:48:35 AM

This answer has been confirmed as correct and helpful.

if 1/3 of a number is 12, what is th number? User: please show working

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Updated 6/11/2014 12:46:57 PM

2 Answers/Comments

a family uses 1/12 of a piece of cake on one day, 1/6 on the next day, 3/8 on the third day and the rest on the fourth day. If the piece eaten on the fourth day weighed 12g how much did the whole cake weigh? Please shw working

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Expert Answered

Updated 8/14/2023 5:32:50 AM

1 Answer/Comment

If the piece eaten on the fourth day weighed 12g, 96 grams did the whole cake weigh.

Solution

1/12 + 1/6 + 3/8 = 8/24 + 4/24 + 9/24 = 21/24

1 - 21/24 = 3/24

(3/24) * Whole Cake Weight = 12g

To find the whole cake weight:

Whole Cake Weight = 12g / (3/24) = 12g * (24/3) = 96g

Solution

1/12 + 1/6 + 3/8 = 8/24 + 4/24 + 9/24 = 21/24

1 - 21/24 = 3/24

(3/24) * Whole Cake Weight = 12g

To find the whole cake weight:

Whole Cake Weight = 12g / (3/24) = 12g * (24/3) = 96g

Added 8/14/2023 5:32:45 AM

This answer has been confirmed as correct and helpful.

Sam travels 3/10 of his journey by car, 3/20 by bicycle, 1/12 by boat and he walks the rest which is 140km. How long is the journey **Weegy:** i'm sorry i dont know the answer (More)

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Expert Answered

Updated 8/1/2023 5:56:06 AM

2 Answers/Comments

Solution:

3/10 + 3/20 + 1/12 = 8/15

3/10 + 3/20 + 1/12 = 8/15

Added 8/1/2023 5:55:11 AM

This answer has been added to the Weegy Knowledgebase

Solution:

3/10 + 3/20 + 1/12 = 8/15 is the total time length of his journey.

3/10 + 3/20 + 1/12 = 8/15 is the total time length of his journey.

Added 8/1/2023 5:56:06 AM

This answer has been confirmed as correct and helpful.

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