10
Answer: BSet 7: Linear Equations (Advanced)
Explanation
A movie theater charges 8 for children. A group of 10 people paid $104 total. How many adults were in the group?
How many adults were in the group?
A.
7
B.✓ Correct
4
C.
5
D.
6
Detailed Explanation
Choice B is correct. Let a = adults, c = children. a + c = 10 and 12 a + 8 c = 104. From first: c = 10 - a. Substitute: 12 a + 8(10-a) = 104. 12 a + 80 - 8 a = 104. 4 a = 24. a = 6.
Key Steps:
•
The correct answer is 4
Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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