Answer:
14 problems worth 5 points and 15 problems worth 2 points
14 x 5 = 70
15 x 2= 30
70 + 30= 100
14+15 = 29 5 x 14 + 2 x 15=100
Answer:
Option 2.
Step-by-step explanation:
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
Mr. Martin’s math test, which is worth 100 points, has 29 problems.
[tex]x+y=29[/tex] .... (1)
[tex]5x+2y=100[/tex] ..... (2)
Multiply equation (1) by 2.
[tex]2x+2y=58[/tex] .... (3)
Subtract equation (3) from equation (2), to eliminate the variable y.
[tex]5x+2y-(2x+2y)=100-58[/tex]
[tex]5x+2y-2x-2y=42[/tex]
Combined like terms.
[tex](5x-2x)+(2y-2y)=42[/tex]
[tex]3x=42[/tex]
Divide both sides by 3.
[tex]x=14[/tex]
The value of x is 14.
Substitute x=14 in equation (1).
[tex]14+y=29[/tex]
Subtract 14 from both sides.
[tex]y=29-14[/tex]
[tex]y=15[/tex]
The value of y is 15.
It means 14 problems worth 5 points and 15 problems worth 2 points.
Therefore, the correct option is 2.
