Question

50 points because this one is difficult! Please help me!!! I don't understand! I will give brainliest and 5 stars. :) Please no links or random answers. I really need help. Thanks to anyone who gives me an answer. :D - Luna


Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 35 problems. Each problem is worth either 5 points or 2 points. How can you set up a system of equations to find how many problems of each point value are on the test?

Let x = the number of questions worth 5 points.

Let y = the number of questions worth 2 points.

Answer 1

Answer:

Step-by-step explanation:

5x+2y=100

x+y=35

x=10

y=25

Answer 2

x - the number of 5 points worth problems
y - the number of 2 points worth problems

The test has 29 problems.
x+y=29

The test is worth 100 points.
5x+2y=100

The system of equations:
x+y=29
5x+2y=100

The solution:
-2x-2y=-58. | x (-2)
5x+2y=100
divided by
3x=42. (divided by 3)
x=14
14+y=29
y=15