Answer: the number of multiple-choice questions in the math test is 35 and the number of open-ended questions in the math test is 3
Step-by-step explanation:
Let x represent the number of multiple-choice questions in the math test.
Let y represent the number of open-ended questions in the math test.
The math test has 38 questions. It means that
x + y = 38
This test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. The total number of points is 200. It means that
4x + 20y = 200 - - - - - - - - - -1
Substituting x = 38 - y into equation 1, it becomes
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
48/16
y = 3
Substituting y = 3 into x = 38 - y, it becomes
x = 38 - 3 = 35
It would be 100 apartments on each floor level.
<span><span>Solve the system for x and y.</span><span>2y = x + 8</span><span>2y − 10 = 2x</span> <span>A) x = </span>−<span>3, y = 2</span> <span>B) x = </span>−<span>2, y = 3</span> <span>C) x = </span>−<span>5, y = 2</span> <span>D) x = 0, y = -5</span></span>
the 20x(8+2) is just two times greater as its 200 instead of 100 which is the other answer
