Question

Blake makes and sell bracelets. he spends $75 in materials to make the bracelets, and he sell each bracelet for $1.50. Blake wants to earn a profit of at least $210.

Answer 1

To find out how many bracelets Blake needs to sell to earn a profit of at least $210, we can set up the following equations.

1. Let's denote the number of bracelets Blake sells as \( x \).
2. The total revenue from selling \( x \) bracelets at $1.50 each is \( 1.50x \).
3. Blake's costs amount to $75 for materials.
4. To find the profit, we subtract the costs from the revenue:

\[
\text{Profit} = \text{Revenue} - \text{Costs}
\]
\[
\text{Profit} = 1.50x - 75
\]

5. To achieve a minimum profit of $210, we can set up the inequality:

\[
1.50x - 75 \geq 210
\]

6. Now, we will solve for \( x \):

\[
1.50x - 75 \geq 210
\]
\[
1.50x \geq 210 + 75
\]
\[
1.50x \geq 285
\]
\[
x \geq \frac{285}{1.50}
\]
\[
x \geq 190
\]

So, Blake needs to sell at least **190 bracelets** to earn a profit of at least $210.