Question

Mr. Martin's math test, which is worth 100 points, has 35
problems. Each problem is worth either 5 points or 2
points
Let x = the number of questions worth 5 points.
Let y = the number of questions worth 2 points.
x + y = 35.
5x + 2y = 100
How many problems of each point
test?

Answer 1

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Further explanation:

The given system is a system of linear equations in two variables.

We will use the subsitution method to solve the system

Given equations are:

$x+y=35\\5x+2y=100$

From equation no 1:

$x+y=35\\x=35-y$

Putting x=35-y in second equation

$5x+2y=100\\5(35-y)+2y=100\\175-5y+2y=100\\-3y=100-175\\-3y=-75\\\frac{-3y}{-3}=\frac{-75}{-3}\\y=25\\Putting y=25 in first equation\\x+25=35\\x= 35-25\\x=10$

Hence,

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Keywords: Linear Equations, Substitution method

Learn more about substitution method at:

• brainly.com/question/11566221
• brainly.com/question/13063819

#LearnwithBrainly

Answer 2

Answer:

Its A Just took the assignment on edg!