You are an office manager reconciling the monthly postage inventory, which consists of 49-cent and 35-cent stamps. To determine the exact quantities used, you must first translate the problem into algebraic terms. You recall from the inventory log that 'the number of 49-cent stamps was five less than three times the number of 35-cent stamps.' If you assign the variable $x$ to represent the number of 35-cent stamps, which of the following expressions correctly represents the number of 49-cent stamps?

An office coordinator is reconciling postage expenses for a bulk mailing project. They need to determine how many 49-cent and 35-cent stamps were purchased for a total of 15.75. Based on the standard problem-solving strategy for mixture problems, arrange the following steps in the correct order to solve this scenario.

An office manager is reconciling a receipt for a mixture of 49-cent and 35-cent stamps with a total cost of {}15.75. The inventory log notes that the number of 49-cent stamps was 'five less than three times' the number of 35-cent stamps (x). To model this, the manager uses the equation:{}0.49(3x - 5) + 0.35x = 15.75$. Match each component of the equation to its corresponding real-world meaning.

Postage Inventory Reconciliation

When using the total-value model to reconcile postage expenses, the 'Total Value' of a specific type of stamp is calculated by multiplying the number of stamps by the ____ of each individual stamp.

In an office shipping department, an administrative assistant is setting up a total-value equation to reconcile a postage purchase of 49-cent and 35-cent stamps. The assistant notes that the number of 49-cent stamps was 'five less than three times' the number of 35-cent stamps ($x$).

True or False: The algebraic expression representing the number of 49-cent stamps should be written as ${}5 - 3x$.

Translating the Total-Value Table into an Equation