Question

solving a real - world problem
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.
○ (x + y = 29), (5x + 2y = 100)
○ (x + y = 100), (5x + 2y = 29)
○ (5x + y = 29), (2y + x = 100)
○ (2x + y = 100), (5y + x = 29)

Explanation:

Step1: Count total problems

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

Step2: Count total test points

Total points equal sum of points from each question type.
$5x + 2y = 100$

Answer:

x + y = 29, 5x + 2y = 100