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sattari [20]
3 years ago
6

Your cousin renews his apartment lease and pays a new monthly rent. His new rent is calculated by applying a discount of $50 to

his original rent and then applying a 10% increase to the discounted amount. What was your cousin's original monthly rent when his new rent is 5% greater?
Your cousin's original rent was $ ________
Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

  • $1100

Step-by-step explanation:

Let the rent be x

<u>Discounted rent </u>

  • x - $50

<u>Increase applied</u>

  • 10%

<u>Final rent:</u>

  • (x - 50) + 10% = (x - 50)*1.1

<u>We know this is equal to x + 5% = 1.05x, comparing now</u>

  • 1.1(x - 50) = 1.05x
  • 1.1x - 1.05x = 55
  • 0.05x = 55
  • x = 55/0.05
  • x = $1100
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