Question 74118 • FL-1200700-Mathematics for College Algebra MIS
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.
Answer
A
x + y = 29, 5x + 2y = 100
B
x + y = 100, 5x + 2y = 29
C
5x + y = 29, 2y + x = 100
D
2x + y = 100, 5y + x = 29
Explanation
The total number of problems is 29, so the equation counting both types is x + y = 29. The total points are 100; since x problems are worth 5 points and y problems are worth 2 points, their combined value is 5x + 2y = 100. These equations match choice A.
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