Phyllis invested $$ \$ 50,000 $$ in two different types of stock. The first type earned $$ 10 \% $$ and the second type earned $$ 15 \% $$. If the profit on the the $$ 10 \% $$ stock, how much did Phyllis invest in the $$ 15 \% $$ stock?

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UpStudy AI · Accepted Answer

It appears there's a small typo in your problem statement. Assuming you meant to say that **the profit from the 10% stock is equal to the profit from the 15% stock**, we can solve the problem as follows:

**Let:**
- $$ x $$ be the amount invested in the 10% stock.
- $$ \$50,000 - x $$ be the amount invested in the 15% stock.

**Given:**
- Profit from 10% stock: $$ 0.10x $$
- Profit from 15% stock: $$ 0.15(\$50,000 - x) $$
- Profits are equal: $$ 0.10x = 0.15(\$50,000 - x) $$

**Set Up the Equation:**
$$
0.10x = 0.15(\$50,000 - x)
$$

**Solve for $$ x $$:**
$$
0.10x = \$7,500 - 0.15x
$$
$$
0.10x + 0.15x = \$7,500
$$
$$
0.25x = \$7,500
$$
$$
x = \frac{\$7,500}{0.25} = \$30,000
$$

**Amount Invested in the 15% Stock:**
$$
\$50,000 - \$30,000 = \$20,000
$$

**Answer:** Phyllis invested **\$20,000** in the 15% stock.
Phyllis invested \$20,000 in the 15% stock.

Phyllis invested in two different types
of stock. The first type earned and the
second type earned . If the profit on the
the stock, how much did Phyllis invest in
the stock?

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Phyllis invested in two different types of stock. The first type earned and the second type earned . If the profit on the the stock, how much did Phyllis invest in the stock?