Question

On a recent trip to a computer store, you purchased one software package for $24.99 and three printer cartridges. The total bill with tax was $90.91. If the tax was $5.95 and x represents the cost of each printer cartridge, which equation can be used to model this problem?

A) 24.99 + 3x = 90.91
B) 24.99 + 3 + x + 5.95 = 90.91
C) 24.99 + 3x + 5.95 = 90.91
D) 5.95(24.99 + 3x) = 90.91

Answer 1

The correct equation to model the cost of individual printer cartridges given a software package cost, total bill with tax, and tax amount, is 24.99 + 3x + 5.95 = 90.91, which corresponds to Option C.

Step-by-step explanation:

The problem involves determining the cost of individual printer cartridges when given the total bill with tax and the cost of one software package. Let x represent the cost of each printer cartridge. We know that the total cost of the software package is $24.99, and that three printer cartridges were purchased. The total bill with tax came to $90.91, and the tax was $5.95. The equation to calculate the cost of the cartridges would be the cost of the software package plus three times the cost of a single cartridge (3x), added to the tax, and this total should equal the final bill of $90.91.

To form the correct equation, we write it as follows:

24.99 + 3x + 5.95 = 90.91

The answers provided are options to select from to represent this problem. The correct equation that can be used to model this problem is Option C: 24.99 + 3x + 5.95 = 90.91.