94.0k views
24 votes
Mr. Martin’s math test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points.

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
How many problems of each point value are on the test?

10 problems worth 5 points and 25 problems worth 2 points
14 problems worth 5 points and 15 problems worth 2 points
16 problems worth 5 points and 13 problems worth 2 points
15 problems worth 5 points and 13 problems worth 2 points

2 Answers

8 votes

Answer:

A.

Step-by-step explanation:

got it right on the assignment

User Woakas
by
3.4k points
7 votes

Answer:

14 problems worth 5 points and 15 problems worth 2 points

Step-by-step explanation:

x+y=29

14+15=29

5x+2y=100

5(14)+2(15)= 100

70+30=100

100=100

Hope this helps!

User Changzhi
by
3.5k points