kadenwells12
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Question A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of each point value are on the test?

Respuesta :

12441469

Each problem is worth either 5 points or 2 points

Amist
System of equations
You know total = 38 problems (100 points)
Let x = 5 point questions
Let y = 2 point questions
x + y = 38
5x + 2y = 100
Now solve the equation
You can multiply top by 5
5x + 5y = 190
5x + 2y = 100
Subtract by elimination
3y = 90, y = 30

For the 2 points, there’s 30
38 - 30 = 8

Solution: there’s 30 (2 point questions) and 8 (5 point questions)

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