Algebra Puzzle – Challenge 57
Algebra Puzzle - Challenge 57 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.
This mathematical puzzle requires some kind of math to solve. Let’s challenge your brain with a great math challenge!
Challenge:
The sum of three positive integers is 4000. The ratio of the first number to the second number is (frac{2}{3}) and the ratio of the first number to the third number is (frac{6}{5}). What is the third number?
A- 800
B- 1000
C- 1200
D- 1600
E- 2000
The Absolute Best Book to Challenge Your Smart Student!
The correct answer is B.
Let X, Y and Z represent the three numbers. So,
X + Y + Z = 4000 and
(X = frac{2}{3} Y → Y = frac{3}{2}X)
(X = frac{6}{5} Z → Z = frac{5}{6}X)
Replace the values of Y and Z in the first equations with their values in the second and third equations:
(X + frac{3}{2}X + frac{5}{6}X = 4000 →X = 1200)
(Y = frac{3}{2}X → Y = frac{3}{2} (1200) = 1800)
(Z = frac{5}{6}X → Z = frac{5}{6}(1200) = 1000)
The third number, Z, is 1000.The Best Books to Ace Algebra
Related to This Article
More math articles
- The Ultimate 6th Grade NSCAS Math Course (+FREE Worksheets)
- Fiscal policy
- Maclaurin Series Fundamentals: Efficient Approximations for Common Functions
- Deviance and Social Control
- Decimals Demystified: From Standard Form to Expanded Form with Fractions
- The Best Grade 4 ELA Practice Tests for Rhode Island Students
- The Agency’s Math Problem: How to Balance Costs and Revenue on OnlyFans
- Grade 2 English Practice for Ohio Second Graders
- The Great Migration, Black Soldiers, and the Red Summer
- Decimal Detective: How to Find Numbers with a Specific Sum or Difference
What people say about "Algebra Puzzle: Challenge 57"?
No one replied yet.