Question

Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the

test has 100 points. Write an equation that represents the total points on the test formed by the
number of 2-point problems and the number of 4-point problems
Labels: x= Click here
y= Click here
A
Write an equation in standard form
Click here
How many 4 point problems are on the test if there are 32 2 points questions? Click here

Answer 1

Equation: 100 = 2x + 4y

There are 9 4 points problems

Explanation:

In this case, we know that we have a test that in total, we must sum 100 points. This could be with question of 2 points or questions of 4 points.

We do not know exactly how many questions of 2 or 4 point are, but we can write an equation that could give us an idea.

Let's call "x" the number of questions worth 2 points.

Let's call "y" the number of questions worth 4 points.

All together must give 100 points, therefore, the logic equation to do this is:

100 = 2x + 4y

Now, for the second part of this problem, we want to know how many 4 points problems would be in the test if we have 32 questions of 2 points. For that, we use the above equation, and solve for y:

100 = 2(32) + 4y

100 = 64 + 4y

100 - 64 = 4y

36 = 4y

y = 9

Hope this helps