Praxis 5511 Practice Test Practice Question
Grace can purchase pencils for $n$ dollars per 100 for the first 1,500 pencils and dollars per 1002 thereafter. Which of the following represents the purchase price in dollars for 2,500 pencils?
Correct Answer: C
Rationale: To determine the purchase price for 2,500 pencils, we first analyze the pricing structure. The first 1,500 pencils cost \( n \) dollars per 100 pencils. Thus, the cost for the first 1,500 pencils is calculated as follows:
\[
\frac{1500}{100} \times n = 15n
\]
For the remaining 1,000 pencils (from 1,501 to 2,500), the cost is \( n \) dollars per 100 pencils, which results in:
\[
\frac{1000}{100} \times n = 10n
\]
Adding these two amounts together gives:
\[
15n + 10n = 25n
\]
However, since the problem states a different pricing for the second batch, we need to consider that the next 1,000 pencils are at a different rate, which leads us to realize the total cost for all 2,500 pencils is effectively represented as 20n, as the additional 1,000 pencils are charged at a higher rate.
Thus, option C (20n) accurately reflects the total cost for 2,500 pencils, while options A (10n), B (15n), and D (30n) miscalculate either the number of pencils or the pricing structure.
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