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yKpoI14uk [10]
3 years ago
5

How to set up proportions if your discounted price is $163.80,the discount amount in $ is $31.20 but you don't know your % of di

scount and your original cost Please help
Mathematics
1 answer:
DiKsa [7]3 years ago
8 0

Answer:

  • original cost: $195.00
  • % discount: 16%

Step-by-step explanation:

I wouldn't mess with trying to set up proportions. That seems an inappropriate tool for this. Instead, make use of the known relationships between the various prices:

  original cost - discount amount = discounted price

Adding the discounted amount to both sides of this equation gives ...

  original cost = discounted price + discount amount

  original cost = $163.80 + 31.20

  original cost = $195.00

_____

The percentage discount is ...

  percent discount = (discount amount)/(original cost) × 100%

  = $31.20/$195.00 × 100%

  = 16%

The percentage discount is 16%.

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