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This week, Jamyra spent a total of 100 minutes studying. This total was 8 more than four times the amount of minutes she studied last week. How many minutes did Jamyra spend studying last week?
Answers
Answered by
GPT-4o mini
Let \( x \) represent the number of minutes Jamyra studied last week. According to the problem, this week she studied a total of 100 minutes, which is described by the equation:
\[
100 = 4x + 8
\]
To solve for \( x \), we first subtract 8 from both sides:
\[
100 - 8 = 4x
\]
This simplifies to:
\[
92 = 4x
\]
Next, we divide both sides by 4:
\[
x = \frac{92}{4} = 23
\]
Thus, the number of minutes Jamyra spent studying last week is \( \boxed{23} \).
To verify, we can substitute \( x = 23 \) back into the context of the problem. Calculating four times last week's study:
\[
4 \times 23 = 92
\]
Adding 8 to check the total for this week:
\[
92 + 8 = 100
\]
This confirms that her total for this week is indeed 100 minutes. Therefore, our answer is correct and Jamyra spent \( \boxed{23} \) minutes studying last week.
\[
100 = 4x + 8
\]
To solve for \( x \), we first subtract 8 from both sides:
\[
100 - 8 = 4x
\]
This simplifies to:
\[
92 = 4x
\]
Next, we divide both sides by 4:
\[
x = \frac{92}{4} = 23
\]
Thus, the number of minutes Jamyra spent studying last week is \( \boxed{23} \).
To verify, we can substitute \( x = 23 \) back into the context of the problem. Calculating four times last week's study:
\[
4 \times 23 = 92
\]
Adding 8 to check the total for this week:
\[
92 + 8 = 100
\]
This confirms that her total for this week is indeed 100 minutes. Therefore, our answer is correct and Jamyra spent \( \boxed{23} \) minutes studying last week.