The test had ’10’ 4-point questions and ’30’ 3-point questions in the math test.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Sophia’s math test is worth 130 points and has 40 problems.
And, Each problem is worth either 4 points or 3 points.
Now,
Let number of 4 point questions = x
And, Number of 3 point questions = y
Since, There are 40 problems.
So, We get;
x + y = 40 …. (i)
And, Each problem is worth either 4 points or 3 points.
So, We can formulate;
4x + 3y = 130 …. (ii)
Solve equation (i) and (ii) as;
Multiply by 4 in equation (i), we get;
4x + 4y = 160
Subtract from equation (ii),
y = 30
And, x + y = 40
x = 40 – 30
x = 10
Thus, The test had ’10’ 4-point questions and ’30’ 3-point questions in the math test.
Explanation:
Sophia’s math test is worth 130 points and has 40 problems. Each problem is worth either 4 points or 3 points. How many of each question type were on the test? The test had 30 4-point questions and 10 3-point questions. The test had 10 4-point questions and 30 3-point questions. The test had 28 4-point questions and 12 3-point questions. The test had 25 4-point questions and 10 3-point questions
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