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N76 [4]
3 years ago
5

The length of a rectangle is 4 units more than its width. The area of the rectangle is 25 more than 4 times the

Mathematics
1 answer:
storchak [24]3 years ago
7 0

Answer:

D

Step-by-step explanation:

let the width = w

w = w

L = 4 + w

Area = 4*w + 25 = L * w

4w + 25 = L * w                  Substitute for the length

4w + 25 = (w*(w + 4))

4w + 25 = w^2 + 4w          Subtract 4w from each side

w^2 = 25                            Take the square root.

w = +/- 5

- 5 has no meaning.

w = 5

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Answer:

  • <u>120 pens and 200 pencils.</u>

<u></u>

Explanation:

You can set a system of two equations.

<u>1. Variables</u>

<u />

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<u>2. Cost</u>

  • <em>each pen costs</em> $1, then x pens costs: x
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  • Then, the total cost is: x + 0.5y

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<u>3. </u><em><u>There were 80 more pencils than pens</u></em>

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

<u>4. Solve the system</u>

i) Substitute the equation (2) into the equation (1):

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ii) Solve

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

  • y = 80 + 120
  • y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

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