Math Problem Statement

A medical supply store sells tables between $150 and $200 and stools between $25 and $51. The mark-up policy for items that cost over $50 is reflected in the retail price. Write an equation for the retail price R in terms of cost C. Then find the retail price of a table that costs $157 and the cost of an item with a retail price of $193.50.

Solution

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From what I can observe, the problem involves:

  1. A store selling tables and stools with given costs and markup policies.
  2. Writing an equation for the retail price RR in terms of the cost CC.
  3. Finding the retail price of a table and the cost of an item with a known retail price.

Let's break down the problem step by step and solve it:

Problem Summary:

  • The store sells tables and stools.
  • Tables cost between $150 and $200, and stools cost between $25 and $51.
  • Markup policy:
    • For items over $50, there's a specific markup formula.

Questions:

  1. Write an equation that expresses the retail price RR in terms of the cost CC.
  2. Find the retail price for a table that costs $157.
  3. Determine the cost of an item with a retail price of $193.50.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Cost and Mark-up

Formulas

R = C + Markup (if C > $50)

Theorems

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Suitable Grade Level

Grades 8-10