rey earns $11.11 per hour and has saved $94.06 for a new bike. However, this represents only 4/5 x =94.06 to find how much the bike costs, x round to the hundreths place

We are given that Rey has saved $94.06, which represents 4/5 of the total cost of the bike. The equation to find the total cost, $ x $, is:

\[
\frac{4}{5} x = 94.06
\]

To solve for $ x $, we multiply both sides by $ \frac{5}{4} $:

\[
x = 94.06 \times \frac{5}{4}
\]

Now, calculate $ 94.06 \times \frac{5}{4} $:

\[
x = 94.06 \times 1.25 = 117.575
\]

Rounding to the hundredths place, the cost of the bike is:

\[
x = 117.58
\]

Thus, the total cost of the bike is **$117.58**.

Would you like further details or have any questions? 

Here are 5 related questions for practice:
1. How much more does Rey need to save to buy the bike?
2. If Rey works 5 hours per day, how many days will it take him to earn the remaining amount?
3. If Rey gets a raise to $12.50 per hour, how will this affect the time it takes to save the remaining amount?
4. What percentage of the bike cost does Rey's current savings represent?
5. If the bike price increases by 10%, what will be the new cost?

**Tip:** Always double-check the rounding step to ensure precision in your final answer.

Rey earns $11.11 per hour and has saved $94.06 for a new bike. However, this represents only 4/5 of the total cost. Solve for the total cost of the bike, rounding to the hundredths place.

Learn how to solve a proportion problem where Rey has saved $94.06, representing 4/5 of the total bike cost. Follow the step-by-step solution to find the total cost of the bike, rounding to the hundredths place. This algebra problem is perfect for students in Grades 6-8.

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