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Dorris is trying to decide between two laser printers. Both have similar features and warranties so price is the determining factor. Printer A costs $159 and printing costs are approximately $0.04 per page Printer B costs $194. and printing costs are approximately $0.02 per page. How many pages need to be printed for the cost of the two printers to be the same? pages need to be printed for the cost of the two printers to be equal.

Dorris is trying to decide between two laser printers. Both have similar features and warranties so price is the determining factor. Printer A costs $159 \$ 159 and printing costs are approximately $0.04 \$ 0.04 per page Printer B costs $194 \$ 194 . and printing costs are approximately $0.02 \$ 0.02 per page. How many pages need to be printed for the cost of the two printers to be the same?\newlinepages need to be printed for the cost of the two printers to be equal.

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Q. Dorris is trying to decide between two laser printers. Both have similar features and warranties so price is the determining factor. Printer A costs $159 \$ 159 and printing costs are approximately $0.04 \$ 0.04 per page Printer B costs $194 \$ 194 . and printing costs are approximately $0.02 \$ 0.02 per page. How many pages need to be printed for the cost of the two printers to be the same?\newlinepages need to be printed for the cost of the two printers to be equal.
  1. Identify Cost Difference: Identify the initial cost difference between the two printers. Printer A costs $159\$159 and Printer B costs $194\$194. The difference in initial cost is $194−$159=$35\$194 - \$159 = \$35.
  2. Identify Printing Costs: Identify the difference in printing costs per page between the two printers. Printer A's printing cost is $0.04\$0.04 per page and Printer B's printing cost is $0.02\$0.02 per page. The difference in printing cost per page is $0.04−$0.02=$0.02\$0.04 - \$0.02 = \$0.02.
  3. Set Up Break-Even Equation: Set up the equation to find the break-even point where the total costs of both printers are the same.\newlineLet the number of pages to be printed be represented by 'p'.\newlineThe total cost for Printer A will be the initial cost plus the cost per page times the number of pages: $159+$0.04p\$159 + \$0.04p.\newlineThe total cost for Printer B will be the initial cost plus the cost per page times the number of pages: $194+$0.02p\$194 + \$0.02p.\newlineSo, we have the equation $159+$0.04p=$194+$0.02p\$159 + \$0.04p = \$194 + \$0.02p.
  4. Solve for Number of Pages: Solve the equation for 'p' to find the number of pages.\newline159+0.04p=194+0.02p159 + 0.04p = 194 + 0.02p\newlineSubtract 0.02p0.02p from both sides to get the terms with 'p' on one side:\newline0.04p−0.02p=194−1590.04p - 0.02p = 194 - 159\newline0.02p=350.02p = 35
  5. Divide to Find Value: Divide both sides by $0.02\$0.02 to find the value of 'p'.\newlinep=$35$0.02p = \frac{\$35}{\$0.02}\newlinep=1750p = 1750
  6. Conclude with Final Answer: Conclude with the final answer.\newlineThe number of pages that need to be printed for the cost of Printer A and Printer B to be the same is 17501750 pages.

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