Answer:
There are 14 problems worth 5 points and 15 problems worth 2 points.
Explanation:
x - the number of 5 points worth problems
y - the number of 2 points worth problems
The test has 29 problems.
x+y=29x+y=29
The test is worth 100 points.
5x+2y=100
The system of equations:
x+y=29
5x+2y=100
The solution:
x+y=29 ∣×(−2)
5x+2y=100
Substract −2x−2y=−58 from 5x+2y=100
−2x−2y=−58
5x+2y=100
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3x=42
3x/3 = 42/3
x=14
x+y=29
14+y=29
14+y-14 = 29 - 14
y=15
There are 14 problems worth 5 points and 15 problems worth 2 points.