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Answer :
Final answer:
To find the number of pages in the Algebra book, we can set up equations based on the given information and solve for the variable. By substituting the value of y back into the first equation, we can find the value of x, which represents the number of pages in the Algebra book. The correct answer is D)1250 pages.
Explanation:
To solve this problem, we can set up two equations based on the given information. Let's say the Algebra book has x pages and the Geometry book has y pages. From the problem statement, we know that the Algebra book contains 500 more pages than the Geometry book, so we have the equation x = y + 500. The total number of pages in two Algebra books and six Geometry books is 2000, so we have the equation 2x + 6y = 2000.
Substituting the value of x from the first equation into the second equation, we get 2(y + 500) + 6y = 2000. Simplifying this equation, we have 2y + 1000 + 6y = 2000. Combining like terms, we get 8y + 1000 = 2000. Subtracting 1000 from both sides, we get 8y = 1000. Dividing both sides by 8, we get y = 125.
Substituting this value of y back into the first equation, we get x = 125 + 500 = 625. Therefore, the Algebra book has 625 pages, which means the correct answer is D) 1250 pages.
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