Question
Type the answers in the spaces provided. Use numbers instead of words. Ms. Ross told her class that tomorrow's math test will have 20 questions and be worth 100 points. The multiple-choice questions are 3 points each, and the open-ended response questions are 8 points each. Determine how many multiple-choice and open-ended response questions are on the test. Let \( x \) represent the number of multiple-choice questions and \( y \) represent the number of open-ended response questions. Write a system of equations. Answer \( \square \)
Ask by Ellis Wagner. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\begin{cases}
x + y = 20 \\
3x + 8y = 100
\end{cases}
\]
Solution
\[
\begin{cases}
x + y = 20 \\
3x + 8y = 100
\end{cases}
\]
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Simplify this solution Beyond the Answer
The first equation represents the total number of questions: \( x + y = 20 \). The second equation relates to the total points: \( 3x + 8y = 100 \). So, the system of equations is: 1. \( x + y = 20 \) 2. \( 3x + 8y = 100 \)
