SOLUTION: You take a test in which there are 247 points possible. The test consists of true/false questions worth 2 points each, multiple choice questions worth 5 points each, and essay ques

Question 1098810: You take a test in which there are 247 points possible. The test consists of true/false questions worth 2 points each, multiple choice questions worth 5 points each, and essay questions worth 10 points each. There are 24 more multiple choice questions than true/false questions. There are 7 times as many multiple choice questions on the exam as there are essay questions.
How many True/False Questions are there:
How many Multiple Choice Question are there:
How many Essay Questions are there:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
X-number of true false questions
Y-number of multiple choice questions
Z-number of essay questions
.
.
1.
2.
3.
From 2,

From 3,

Substituting into 1,

Multiplying both sides by 7,

Solve for Y then use the other equations to solve for X and Z.

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