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nikklg [1K]
2 years ago
5

Sanjeet paid $32.85 for a file and 3 identical pens.Leon paid $83.50 for 2 such files and 8 such pens.Find the cost of 1 pen.

Mathematics
1 answer:
olga2289 [7]2 years ago
5 0
1 file + 3 pens = $32.85     --------------- (1)
2 files + 8 pens = $83.50   ----------------(2)

(1) x 2 :
2 files + 6 pens = $65.70   ----------------(1a)

(2) - (1a) :
2 pens = $17.80
1 pen = $8.90

 -------------------------------------------------------------------------------
Answer: One pen costs $8.90.
 -------------------------------------------------------------------------------

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<u>Answer:</u>

There are two approaches to solving the equation -3x + 10 = 4x - 20. The value of x after solving in both methods is 4.2857.

<u>Solution:</u>

Given, equation is -3x + 10 = 4x – 20.

We have to solve the given equation in two methods, now let us see the first method.

<u><em>1st method ⇒ by subtracting 4x from both sides.</em></u>

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 – 4x = 4x – 20 – 4x ⇒ -3x – 4x = -20 – 10 ⇒ -7x = -30 ⇒ 7x = 30  

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Now, let us use the 2nd method.

<em><u>2nd method ⇒ by adding 3x on both sides.</u></em>

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 + 3x = 4x – 20 + 3x

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⇒ x = \frac{30}{7}

Hence, the value of x after solving in both methods is \frac{30}{7} = 4.2857.

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Answer:

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Step-by-step explanation:

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