How to Do Ratio, Proportion, and Percentages Puzzle -Critical Thinking 8

This kind of math puzzle is an educational activity for practicing children's math skills. It's also helpful for adults to have fun and challenge their brains!

How to Do Ratio, Proportion, and Percentages Puzzle -Critical Thinking 8

Challenge:

If \(5^x + 5^{x+1} + 5^{x+2}=\frac{31}{25}\), what is the value of x?

The Absolute Best Book to Challenge Your Smart Student!

Original price was: $16.99.Current price is: $11.99.
Satisfied 123 Students

The correct answer is \(-2\).

Solve for x:
\(5^x + 5^{x+1} + 5^{x+2}=\frac{31}{25}\)
The common factor is \(5^x\). Then,
\(5^x(1+5^1+5^2)=\frac{31}{25}⇒5^x(31)=\frac{31}{25}⇒5^x=\frac{\frac{31}{25}}{31}⇒\)
\(5^x=\frac{31}{25}÷\frac{31}{1}=\frac{31}{25}×\frac{1}{31}=\frac{1}{25}\)
\(\frac{1}{25}=5^{-2}\) Then: \(5^x=5^{-2}⇒ x = -2\)

Related to This Article

What people say about "How to Do Ratio, Proportion, and Percentages Puzzle -Critical Thinking 8 - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.

Leave a Reply

X
45% OFF

Limited time only!

Save Over 45%

Take It Now!

SAVE $40

It was $89.99 now it is $49.99

The Ultimate Algebra Bundle: From Pre-Algebra to Algebra II