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galben [10]
2 years ago
6

Madam Siti bought the same lengths of red and yellow ribbons. After she used 836 cm of the red ribbon, the length of the yellow

ribbon was 5 times the length of the remaining red ribbon. What was the original total length of the two ribbons?
Mathematics
2 answers:
Leya [2.2K]2 years ago
7 0

Answer:

Step-by-step explanation:

Yuliya22 [10]2 years ago
5 0

Answer: 1045 cm of red ribbon and 1045 cm of yellow ribbon

<u>Step-by-step explanation:</u>

Let R represent the amount red ribbon and Y represent the amouont of yellow ribbon.

  • bought the same lengths of red and yellow: R = Y
  • after used 286 of red, yellow is 5 times the remaining red; 5(R - 836) = Y

Use substitution method to solve:

5(R - 836) = R

5R - 4180 = R   <em>distributed 5 on the left side</em>

4R - 4180 = 0   <em>subtracted R from both sides</em>

4R = 4180         <em>added 4180 to both sides</em>

R = 1045         <em>divided both sides by 4</em>


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Answer:

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<u></u>

Explanation:

You can set a system of two equations.

<u>1. Variables</u>

<u />

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<u>2. Cost</u>

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Then:

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       ↓                               ↓

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iii) Substitute x = 120 into the equation (2)

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Solution: 120 pens and 200 pencils ← answer

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