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Mrs.Morales wrote a test with 15 questions covering spelling and vocabulary.spelling questions (x )are worth 5 points and vocabulary questions (y)are worth 10 points.the maximum number of points possible on the test is 100.

User Cleankod
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2 Answers

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Final answer:

The subject of this question is Mathematics and the grade level is High School. The maximum number of points possible on the test can be found using the equation 5x + 10y = 100, where x represents the number of spelling questions and y represents the number of vocabulary questions.

Step-by-step explanation:

The subject of this question is Mathematics and the grade level is High School.

To find the maximum number of points possible on the test, we need to determine the number of spelling questions (x) and vocabulary questions (y). Let's assume there are x spelling questions and y vocabulary questions.

Each spelling question is worth 5 points, so the total points from spelling questions would be 5x. Similarly, each vocabulary question is worth 10 points, so the total points from vocabulary questions would be 10y.

According to the information provided, the maximum number of points possible on the test is 100. Therefore, we can write the equation as: 5x + 10y = 100.

From this equation, we can determine the values of x and y that satisfy it. For example, if we let x = 10 and y = 5, we have: 5(10) + 10(5) = 100, which is true. So, one possible combination of x and y is 10 and 5, respectively.

In summary, the subject of this question is Mathematics and the grade level is High School. To find the maximum number of points possible on the test, we can use the equation 5x + 10y = 100, where x represents the number of spelling questions and y represents the number of vocabulary questions.

User Ramarao Amara
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1 vote
Here's our data:
15 questions total
Total number of points: 100
Spelling questions are worth 5 and represented by x
Vocab questions are worth 10 and represented by y
Therefore:
x+y=15
5x + 10y= 100

So:
x+y=15
x= 15-y

5x +10y =100
5(15 -y) +10y =100
75 -5y +10y =100
75 +5y = 100
5y=25
y=5

x +y=15
x+5=15
x=10
There are 10 spelling questions and 5 vocab questions
User Mykola Golubyev
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