Algebra Puzzle – Challenge 45
Algebra Puzzle - Challenge 45 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
Love to tease your brain with math and critical thinking challenges? If so, this is a great math puzzle for you.
Challenge:
The average of 14 numbers is 18 and the average of 18 numbers is 14. What is the average of all 32 numbers?
A- 15
B- 15.5
C- 15.75
D- 16.5
E- 17.5
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The correct answer is C.
The average of 14 numbers is 18. Therefore, the sum of 14 numbers is 252.
The average of 18 numbers is 14. Therefore, the sum of 18 numbers is 252. The sum of all 32 numbers is 504.
The average of 32 numbers is: 504 ÷ 32 = 15.75The Absolute Best Books to Ace Algebra
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