Question

John studied 6 hours and got a 69 on his math test. How many hours would he need to study to get a 92?

Answer 1

To determine how many hours John would need to study to achieve a score of 92 on his math test, we can set up a proportional relationship based on the hours he studied and the scores he received.

We know:

- 6 hours of study results in a score of 69.
- We want to find out how many hours (let's call it \( x \)) he needs to study to achieve a score of 92.

Assuming a linear relationship between hours studied and score achieved, we can set up a ratio:

\[
\text{Current score} : \text{Current study hours} = \text{Desired score} : \text{Desired study hours}
\]

This gives us the equation:

\[
\frac{69 - 0}{6 - 0} = \frac{92 - 0}{x - 0}
\]

This simplifies to:

\[
\frac{69}{6} = \frac{92}{x}
\]

Cross-multiplying gives:

\[
69x = 92 \cdot 6
\]

Calculating the right side:

\[
69x = 552
\]

Now, divide both sides by 69:

\[
x = \frac{552}{69} \approx 8
\]

So, John would need to study approximately **8 hours** to achieve a score of 92 on his math test.