MATH SOLVE

2 months ago

Q:
# A 100-point test consists of 2-point questions and 5-point questions . There are a total of 44 questions ont the test . How many questions of each type are there on the test

Accepted Solution

A:

Answer:40 - 2 point questions and 4 - 5 point questionsStep-by-step explanation:To solve this situation, write two equations. One for the number of questions and one for the number of points.Let x be the number of 2 point questions.Let y be the number of 5 point questions.x + y = 44Now since x are each worth 2 points, the total points is 2x.And since y are each worth 5 points, the total points is 5y.So 2x + 5y = 100. Substitute one of the equations into the other to solve for the variables.x + y = 44 becomes x = 44 - y. Substitute it.2(44-y) + 5y = 10088 - 2y + 5y = 10088 + 3y = 1003y = 12y = 4Substitute y = 4 back into the equation x = 44 - y to find x.x = 44 - 4x = 40