mr. martin is giving a math test next period. the test, which is worth 100 points, has 29 problems. each…

mr. martin is giving a math test next period. the test, which is worth 100 points, has 29 problems. each problem is worth either 5 points or 2 points. write a system of equations that can be used to find how many problems of each point value are on the test. let x be the number of questions worth 5 points and let y be the number of questions worth 2 points. o x + y = 29, 5x + 2y = 100 o x + y = 100, 5x + 2y = 29 o 5x + y = 29, 2y + x = 100 o 2x + y = 100, 5y + x = 29

mr. martin is giving a math test next period. the test, which is worth 100 points, has 29 problems. each problem is worth either 5 points or 2 points. write a system of equations that can be used to find how many problems of each point value are on the test. let x be the number of questions worth 5 points and let y be the number of questions worth 2 points. o x + y = 29, 5x + 2y = 100 o x + y = 100, 5x + 2y = 29 o 5x + y = 29, 2y + x = 100 o 2x + y = 100, 5y + x = 29

Answer

Explanation:

Step1: Count total number of problems

The total number of problems is 29. Since $x$ is the number of 5 - point problems and $y$ is the number of 2 - point problems, the sum of the number of problems gives the equation $x + y=29$.

Step2: Calculate total points

The test is worth 100 points. Each $x$ problem is worth 5 points and each $y$ problem is worth 2 points. So the total - point equation is $5x + 2y = 100$.

Answer:

A. $x + y = 29,5x + 2y = 100$