There were 890 pages in a book. Don read 3 times as many pages of the book on Saturday than on Sunday. He then had 6 pages left to read. How many pages did he read on Saturday?
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Let's solve this step by step word problem. We have a book with 890 pages total. Don read some pages on Sunday, and on Saturday he read 3 times as many pages as he did on Sunday. After reading on both days, he had 6 pages left to read. We need to find how many pages he read on Saturday.
Now let's define our variables to solve this problem systematically. Let x represent the number of pages Don read on Sunday. Since he read 3 times as many pages on Saturday as on Sunday, Saturday's pages equal 3x. The total pages he read on both days is x plus 3x. Since he had 6 pages left from the 890-page book, he must have read 890 minus 6, which equals 884 pages total.
Now let's form our complete equation step by step. We know that Sunday pages plus Saturday pages equals the total pages read. This gives us x plus 3x equals 890 minus 6. First, we simplify the right side: 890 minus 6 equals 884. So our equation becomes x plus 3x equals 884. Next, we combine like terms on the left side: x plus 3x equals 4x. This gives us our final equation: 4x equals 884. Now we're ready to solve for x.
Now let's solve the equation 4x equals 884. To isolate x, we need to divide both sides by 4. This gives us 4x divided by 4 equals 884 divided by 4. On the left side, 4x divided by 4 simplifies to just x. On the right side, we need to calculate 884 divided by 4. Let's do this division: 884 divided by 4 equals 221. Therefore, x equals 221. This means Don read 221 pages on Sunday.
Now that we know x equals 221, we can find how many pages Don read on Saturday. Since Saturday equals 3x, we need to calculate 3 times 221. Let's multiply: 3 times 221 equals 663. Therefore, Don read 663 pages on Saturday. To summarize our solution: Don read 221 pages on Sunday and 663 pages on Saturday. The answer to our original question is 663 pages.