Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
SOLUTION:
Case: Word Problems (leading to simultaneous equation)
Given: A test case with number of problems and number of points
Required: To find how many word problems and how many multiple -choice questions are on the test
Method:
Defining variables
Let the number number of word problem questions be represented by w
Let the number number of multiple-choice questions be represented by m
Forming equations
Number of problems
m + w = 9...........(1)
Number of points
2 points per m
5 points per w
2m + 5w = 33.......(2)
Solving simultaneously
System of equations:
[tex]\begin{gathered} m+w=9\ldots\ldots\text{.}\mathrm{}(1) \\ 2m+5w=33\ldots\text{.}\mathrm{}(2) \\ \text{Making m subject} \\ m=\text{ 9-w} \\ \text{Plug m as 9-w in equation (2)} \\ 2m+5w=33 \\ 2(\text{9-w})+5w=33 \\ 18\text{ - 2w +5w = 33 } \\ 18\text{ + 3w = 33} \\ 3w\text{ = 33-18} \\ 3w\text{ = 15} \\ \text{Dividing both sides by 3} \\ w\text{ = 5.} \\ \\ \text{Plug w=5 in equation (1)} \\ m+w=9 \\ m+5=9 \\ m\text{ = 9 -5} \\ m=4 \end{gathered}[/tex]Final answer:
Answer as a sentence
There are a total of 4 multiple-choice questions AND
a total of 5 word problem questions
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
