Mr. Martin’s math test which is worth 100 points has 29questions. Each problem is worth 2points or 5 points. X represents number
of 5point questions and y represents questions worth 2 points. X+y=29, 5x+2y=100 How many problems of each point value are on the test?
1 answer:
Answer:there are 14 5point problems and 15 2point problems on the test.
Step-by-step explanation:
x represents number of 5 point questions and y represents questions worth 2 points.
The total number of questions in the test is 29. It means that
x + y = 29
x = 29 - y
Mr. Martin’s math test is worth 100 points. It means that
5x + 2y = 100 - - - - - - - - -1
Substituting x = 29 - y into equation 1, it becomes
5(29 - y) + 2y = 100
145 - 5y + 2y = 100
- 5y + 2y = 100 - 145
- 3y = - 45
y = - 45/-3
y = 15
x = 29 - y = 29 - 15
x = 14
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