Nora used a spiral notebook to take notes in three classes.
• She used 78 pages for math.
• She used 21 more pages for math than for science.
• She used 14 more pages for language than for science.
How many pages of the notebook did Nora use for language?
Let's represent the number of pages Nora used for science as "x".
According to the second condition, she used 21 more pages for math than for science, so the number of pages she used for math is x + 21.
According to the third condition, she used 14 more pages for language than for science, so the number of pages she used for language is x + 14.
Since she used 78 pages for math, we can set up an equation:
x + 21 = 78
Now we can solve for x:
x = 78 - 21
x = 57
Therefore, Nora used 57 pages for science.
To find how many pages Nora used for language, we substitute this value of x into the expression we found: x + 14
57 + 14 = 71
Thus, Nora used 71 pages for language. Answer: \boxed{71}.
Let's call the number of pages Nora used for science "x" pages.
According to the given information:
Nora used 78 pages for math, which means she used x + 21 pages for science.
Nora used 14 more pages for language than for science, which means she used (x + 21) + 14 = x + 35 pages for language.
Since Nora used x pages for science, she used x + 35 pages for language.
So, the number of pages Nora used for language is x + 35.
To find out how many pages Nora used for language, we need to first determine the number of pages she used for science.
Let's assume that Nora used X pages for science.
Given that she used 78 pages for math, we know that the number of pages she used for math is equal to X + 21 (since she used 21 more pages for math than for science).
Now, we also know that she used 14 more pages for language than for science. So the number of pages she used for language is X + 14.
Since the total number of pages used in the spiral notebook is equal to the sum of pages used for math, science, and language, we can add the three values together:
Total pages used = pages used for math + pages used for science + pages used for language
This can be written as:
Total pages used = 78 + (X + 21) + (X + 14)
Simplifying this equation, we can combine like terms:
Total pages used = 2X + 113
Now, we need to set up an equation. We know that the total number of pages used in the spiral notebook is equal to the number of pages in the notebook, which we can assume is some value, let's call it "N."
So we have the equation:
Total pages used = N
Therefore, we can set up the equation:
2X + 113 = N
To find the number of pages Nora used for language, we need to solve for X. Once we find X, we can substitute it back into X + 14 to get the number of pages used for language.