Question

The stock market report says that 3 stocks went up for every 4 stocks that went down. If 424 stocks went down​ yesterday, how many went​ up? Set up and solve a proportion for the problem.

Answer 1

To solve the problem, we can set up a proportion based on the information given.

We know:
- For every 3 stocks that went up, there are 4 stocks that went down.
- This gives us a ratio of stocks that went up to stocks that went down as \( \frac{3}{4} \).

Let \( x \) be the number of stocks that went up. According to the problem, we know that 424 stocks went down, so we can set up the proportion:

\[
\frac{x}{424} = \frac{3}{4}
\]

Now we cross-multiply to solve for \( x \):

\[
4x = 3 \times 424
\]

Calculating the right side:

\[
4x = 1272
\]

Now, divide both sides by 4:

\[
x = \frac{1272}{4} = 318
\]

Thus, the number of stocks that went up is \( \boxed{318} \).