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13. critique reasoning marna thinks that about 35% of her mail is junk …

Question

  1. critique reasoning marna thinks that about 35% of her mail is junk mail. she gets about twice as much regular mail as junk mail. is she correct? explain.

Explanation:

Step1: Define variables for mail types

Let \( j \) be the amount of junk mail and \( r \) be the amount of regular mail. We know \( r = 2j \) (twice as much regular mail as junk mail).

Step2: Calculate total mail

Total mail \( T = j + r = j + 2j = 3j \).

Step3: Find percentage of junk mail

Percentage of junk mail \( = \frac{j}{T} \times 100 = \frac{j}{3j} \times 100 = \frac{100}{3} \approx 33.33\% \), not 35%.

Answer:

Marna is not correct. If regular mail is twice junk mail, let junk mail be \( j \), regular be \( 2j \). Total mail is \( 3j \), so junk mail percentage is \( \frac{j}{3j}\times100\approx33.33\% \), not 35%.